{"id":16,"date":"2023-09-17T11:11:42","date_gmt":"2023-09-17T11:11:42","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d1%80%d0%b0%d0%b7%d0%b4%d0%b5%d0%bb%d0%b8%d1%82%d1%8c-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%b8-%d1%83\/"},"modified":"2023-09-17T11:11:42","modified_gmt":"2023-09-17T11:11:42","slug":"%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d1%80%d0%b0%d0%b7%d0%b4%d0%b5%d0%bb%d0%b8%d1%82%d1%8c-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%b8-%d1%83","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d1%80%d0%b0%d0%b7%d0%b4%d0%b5%d0%bb%d0%b8%d1%82%d1%8c-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%b8-%d1%83\/","title":{"rendered":"\u041f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0439: \u043f\u0435\u0440\u0435\u0432\u043e\u0434\u044b, \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044f, \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u0438\u0435 \u0438 \u0441\u0436\u0430\u0442\u0438\u0435."},"content":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u0438 \u043a\u0430\u043a \u0438\u0445 \u043d\u0430\u0439\u0442\u0438. \u0421\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u0442\u0440\u0438 \u0442\u0438\u043f\u0430 \u0442\u0440\u0430\u043d\u0441\u0444\u043e\u0440\u043c\u0430\u0446\u0438\u0439: \u0442\u0440\u0430\u043d\u0441\u043b\u044f\u0446\u0438\u0438 (\u0438\u043b\u0438 \u0441\u043c\u0435\u0449\u0435\u043d\u0438\u044f), \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0438 \u0438 \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u0438\u044f (\u0438\u043b\u0438 \u0441\u0436\u0430\u0442\u0438\u044f). \u0412\u044b \u0442\u0430\u043a\u0436\u0435 \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f, \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0435 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c, \u0447\u0442\u043e\u0431\u044b \u0432\u044b \u043c\u043e\u0433\u043b\u0438 \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c \u0438 \u043f\u043e\u043d\u0438\u043c\u0430\u0442\u044c \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u0438, \u043d\u0435 \u043e\u0441\u0442\u0430\u0432\u043b\u044f\u044f \u043d\u0438\u043a\u0430\u043a\u0438\u0445 \u0441\u043e\u043c\u043d\u0435\u043d\u0438\u0439. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-las-transformaciones-de-funciones\"><\/span> \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b\u0435 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0418\u043d\u043e\u0433\u0434\u0430 \u043d\u0430\u0441 \u043c\u043e\u0433\u0443\u0442 \u043f\u043e\u043f\u0440\u043e\u0441\u0438\u0442\u044c \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a\u0438 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430\u0440\u043d\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439, \u043e\u0447\u0435\u043d\u044c \u043f\u043e\u0445\u043e\u0436\u0438\u0445 \u043d\u0430 \u0434\u0440\u0443\u0433\u0438\u0435, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043c\u044b \u0443\u0436\u0435 \u0437\u043d\u0430\u0435\u043c. \u0427\u0442\u043e \u0436, \u0432\u043c\u0435\u0441\u0442\u043e \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u043e\u0433\u043e \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u0430\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043c\u043e\u0436\u043d\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u043c\u0435\u0442\u043e\u0434\u044b \u0434\u043b\u044f \u043b\u0435\u0433\u043a\u043e\u0433\u043e \u0438 \u0431\u044b\u0441\u0442\u0440\u043e\u0433\u043e \u043f\u0435\u0440\u0435\u043a\u043b\u044e\u0447\u0435\u043d\u0438\u044f \u043e\u0442 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u043e\u0434\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043a \u0434\u0440\u0443\u0433\u043e\u0439.<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, <strong>\u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0439<\/strong> \u2014 \u044d\u0442\u043e \u043f\u0440\u0438\u0435\u043c\u044b, \u043f\u043e\u0437\u0432\u043e\u043b\u044f\u044e\u0449\u0438\u0435 \u043f\u043e\u0441\u0440\u0435\u0434\u0441\u0442\u0432\u043e\u043c \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430\u0440\u043d\u044b\u0445 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0439 \u043f\u0435\u0440\u0435\u0439\u0442\u0438 \u043e\u0442 \u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043a \u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043a\u043e\u043c\u0443 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u044e \u0434\u0440\u0443\u0433\u043e\u0439 \u043e\u0447\u0435\u043d\u044c \u043f\u043e\u0445\u043e\u0436\u0435\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438.<\/p>\n<p> \u0412 \u043e\u0441\u043d\u043e\u0432\u043d\u043e\u043c \u0440\u0430\u0437\u043b\u0438\u0447\u0430\u044e\u0442 \u0442\u0440\u0438 \u0442\u0438\u043f\u0430 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0439 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430\u0440\u043d\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439:<\/p>\n<ul>\n<li> <strong>\u041f\u0435\u0440\u0435\u0432\u043e\u0434\u044b \u0438\u043b\u0438 \u043f\u0435\u0440\u0435\u043c\u0435\u0449\u0435\u043d\u0438\u044f<\/strong> : \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043c\u043e\u0436\u043d\u043e \u043f\u0435\u0440\u0435\u043c\u0435\u0449\u0430\u0442\u044c \u043f\u043e \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u0438 \u0438 \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u0438.<\/li>\n<li> <strong>\u041e\u0442\u0440\u0430\u0436\u0435\u043d\u0438\u044f \u0438\u043b\u0438 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0438<\/strong> . \u0424\u0443\u043d\u043a\u0446\u0438\u044f \u043c\u043e\u0436\u0435\u0442 \u0431\u044b\u0442\u044c \u043e\u0442\u0440\u0430\u0436\u0435\u043d\u0430 \u0441 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u043d\u0438\u0435\u043c \u043e\u0441\u0438 X \u0438\u043b\u0438 \u043e\u0441\u0438 Y \u0432 \u043a\u0430\u0447\u0435\u0441\u0442\u0432\u0435 \u043e\u0441\u0438 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0438.<\/li>\n<li> <strong>\u0420\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u0438\u0435 \u0438 \u0441\u0436\u0430\u0442\u0438\u0435<\/strong> : \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043c\u043e\u0436\u043d\u043e \u0443\u0432\u0435\u043b\u0438\u0447\u0438\u0442\u044c \u0438\u043b\u0438 \u0443\u043c\u0435\u043d\u044c\u0448\u0438\u0442\u044c.<\/li>\n<\/ul>\n<p> \u041a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u044e \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u043c\u044b \u0443\u0433\u043b\u0443\u0431\u0438\u043c\u0441\u044f \u0432 \u043a\u0430\u0436\u0434\u044b\u0439 \u0442\u0438\u043f \u043c\u043e\u0434\u0438\u0444\u0438\u043a\u0430\u0446\u0438\u0438. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"traslaciones-o-desplazamientos-de-funciones\"><\/span> \u041f\u0435\u0440\u0435\u0432\u043e\u0434\u044b \u0438\u043b\u0438 \u043f\u0435\u0440\u0435\u043c\u0435\u0449\u0435\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0439<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041d\u0430\u0447\u043d\u0435\u043c \u0441\u043e \u0441\u043c\u0435\u043d\u044b \u0444\u0443\u043d\u043a\u0446\u0438\u0439. \u0421\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u0434\u0432\u0430 \u0442\u0438\u043f\u0430: \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u044b\u0435 \u043f\u0435\u0440\u0435\u0432\u043e\u0434\u044b \u0438 \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u044b\u0435 \u043f\u0435\u0440\u0435\u0432\u043e\u0434\u044b.<\/p>\n<h3 class=\"wp-block-heading\"> \u041f\u0435\u0440\u0435\u0432\u043e\u0434 \u0438\u043b\u0438 \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u043e\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u0449\u0435\u043d\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438<\/h3>\n<p> \u0427\u0442\u043e\u0431\u044b \u043f\u0435\u0440\u0435\u0432\u0435\u0441\u0442\u0438 \u0438\u043b\u0438 \u043f\u0435\u0440\u0435\u043c\u0435\u0441\u0442\u0438\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043f\u043e \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u0438 (\u0432\u0434\u043e\u043b\u044c \u043e\u0441\u0438 Y), \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0434\u043e\u0431\u0430\u0432\u0438\u0442\u044c \u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0438\u043b\u0438 \u0432\u044b\u0447\u0435\u0441\u0442\u044c \u043a\u043e\u043d\u0441\u0442\u0430\u043d\u0442\u0443: <\/p>\n<div style=\"padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px;\">\n<p style=\"text-align:left\"> \u041c\u044b \u043f\u0435\u0440\u0435\u043c\u0435\u0449\u0430\u0435\u043c \u0444\u0443\u043d\u043a\u0446\u0438\u044e <strong>\u043d\u0430 k \u0435\u0434\u0438\u043d\u0438\u0446 \u0432\u0432\u0435\u0440\u0445<\/strong> , \u0434\u043e\u0431\u0430\u0432\u043b\u044f\u044f \u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 ka:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d148ee17ffaab58b502ee771b74a931a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(x)+k}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"65\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\"> \u0421\u043c\u0435\u0441\u0442\u0438\u043c \u0444\u0443\u043d\u043a\u0446\u0438\u044e <strong>\u043d\u0430 k \u0435\u0434\u0438\u043d\u0438\u0446 \u0432\u043d\u0438\u0437<\/strong> , \u0432\u044b\u0447\u0438\u0442\u0430\u044f \u0438\u0437 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 ka: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-76021d6fef316019d46a849b31cb7ff5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(x)-k}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"65\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/translation-ou-deplacement-vertical-d-une-fonction.webp\" alt=\"\u041f\u0435\u0440\u0435\u0432\u043e\u0434 \u0438\u043b\u0438 \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u043e\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u0449\u0435\u043d\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438\" class=\"wp-image-314\" width=\"401\" height=\"334\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u041a\u0430\u043a \u0432\u0438\u0434\u043d\u043e \u0438\u0437 \u0433\u0440\u0430\u0444\u0438\u043a\u0430, \u0434\u043e\u0431\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u043a\u043e\u043d\u0441\u0442\u0430\u043d\u0442\u044b \u043a \u043b\u044e\u0431\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0441\u0434\u0432\u0438\u0433\u0430\u0435\u0442 \u0434\u043e\u0431\u0430\u0432\u043b\u044f\u0435\u043c\u044b\u0435 \u0435\u0434\u0438\u043d\u0438\u0446\u044b \u0432\u0432\u0435\u0440\u0445 (\u0437\u0435\u043b\u0435\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f). \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u043f\u0440\u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0438 \u0447\u0438\u0441\u043b\u0430 \u0438\u0437 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u0435\u043c\u044b\u0435 \u0435\u0434\u0438\u043d\u0438\u0446\u044b \u043f\u0435\u0440\u0435\u043c\u0435\u0449\u0430\u044e\u0442\u0441\u044f \u0432\u043d\u0438\u0437 (\u043a\u0440\u0430\u0441\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f).<\/p>\n<p> \u041e\u0431\u0440\u0430\u0442\u0438\u0442\u0435 \u0432\u043d\u0438\u043c\u0430\u043d\u0438\u0435, \u0447\u0442\u043e \u043f\u0440\u0438 \u044d\u0442\u043e\u043c \u0442\u0438\u043f\u0435 \u0434\u0432\u0438\u0436\u0435\u043d\u0438\u0439 \u0438\u0437\u043c\u0435\u043d\u044f\u044e\u0442\u0441\u044f \u0442\u043e\u043b\u044c\u043a\u043e \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b Y \u0444\u0443\u043d\u043a\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b\u0445 \u0442\u043e\u0447\u0435\u043a, \u0430 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b X \u043e\u0441\u0442\u0430\u044e\u0442\u0441\u044f \u043f\u0440\u0435\u0436\u043d\u0438\u043c\u0438.<\/p>\n<h3 class=\"wp-block-heading\"> \u0422\u0440\u0430\u043d\u0441\u043b\u044f\u0446\u0438\u044f \u0438\u043b\u0438 \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u043e\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u0449\u0435\u043d\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0439<\/h3>\n<p> \u0427\u0442\u043e\u0431\u044b \u043f\u0435\u0440\u0435\u0432\u0435\u0441\u0442\u0438 \u0438\u043b\u0438 \u0441\u0434\u0432\u0438\u043d\u0443\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043f\u043e \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u0438 (\u0432\u0434\u043e\u043b\u044c \u043e\u0441\u0438 X), \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0434\u043e\u0431\u0430\u0432\u0438\u0442\u044c \u0438\u043b\u0438 \u0432\u044b\u0447\u0435\u0441\u0442\u044c \u043a\u043e\u043d\u0441\u0442\u0430\u043d\u0442\u0443 \u043a \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 <em>x<\/em> : <\/p>\n<div style=\"padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px;\">\n<p style=\"text-align:left\"> \u0413\u0440\u0430\u0444\u0438\u043a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-682fb180cfa4be390cf2d7735ddeb017_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(x+k)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"65\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u044d\u0442\u043e \u0433\u0440\u0430\u0444\u0438\u043a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a7ee323bc5a3f73ad5e066b13bed5504_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"34\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u043f\u0435\u0440\u0435\u043c\u0435\u0441\u0442\u0438\u043b\u0441\u044f <strong>\u043d\u0430 k \u0435\u0434\u0438\u043d\u0438\u0446 \u0432\u043b\u0435\u0432\u043e.<\/strong><\/p>\n<p style=\"text-align:left\"> \u0413\u0440\u0430\u0444\u0438\u043a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7433764880a8f4ab8e11e3f162743b49_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(x-k)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"65\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u044d\u0442\u043e \u0433\u0440\u0430\u0444\u0438\u043a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a7ee323bc5a3f73ad5e066b13bed5504_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"34\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0441\u0434\u0432\u0438\u043d\u0443\u0442\u043e <strong>\u043d\u0430 k \u0435\u0434\u0438\u043d\u0438\u0446 \u0432\u043f\u0440\u0430\u0432\u043e.<\/strong> <\/p>\n<\/div>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/translation-ou-deplacement-horizontal-d-une-fonction.webp\" alt=\"\u041f\u0435\u0440\u0435\u0432\u043e\u0434 \u0438\u043b\u0438 \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u043e\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u0449\u0435\u043d\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438\" class=\"wp-image-315\" width=\"504\" height=\"323\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u041a\u0430\u043a \u0432\u0438\u0434\u043d\u043e \u0438\u0437 \u0433\u0440\u0430\u0444\u0438\u043a\u0430, \u043f\u0440\u0438 \u0434\u043e\u0431\u0430\u0432\u043b\u0435\u043d\u0438\u0438 \u043a\u043e\u043d\u0441\u0442\u0430\u043d\u0442\u044b \u043d\u0435\u043f\u043e\u0441\u0440\u0435\u0434\u0441\u0442\u0432\u0435\u043d\u043d\u043e \u043a \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 <em>x<\/em> \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0441\u0434\u0432\u0438\u0433\u0430\u0435\u0442 \u0434\u043e\u0431\u0430\u0432\u043b\u0435\u043d\u043d\u044b\u0435 \u0435\u0434\u0438\u043d\u0438\u0446\u044b \u0432\u043b\u0435\u0432\u043e (\u043a\u0440\u0430\u0441\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f). \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u043f\u0440\u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0438 \u0447\u0438\u0441\u043b\u0430 \u0438\u0437 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 <em>x<\/em> \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0441\u0434\u0432\u0438\u0433\u0430\u0435\u0442 \u0432\u044b\u0447\u0438\u0442\u0430\u0435\u043c\u044b\u0435 \u0435\u0434\u0438\u043d\u0438\u0446\u044b \u0432\u043f\u0440\u0430\u0432\u043e (\u0437\u0435\u043b\u0435\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f).<\/p>\n<p> \u041e\u0431\u0440\u0430\u0442\u0438\u0442\u0435 \u0432\u043d\u0438\u043c\u0430\u043d\u0438\u0435, \u0447\u0442\u043e \u043f\u0440\u0438 \u044d\u0442\u043e\u043c \u0442\u0438\u043f\u0435 \u0434\u0432\u0438\u0436\u0435\u043d\u0438\u0439 \u0438\u0437\u043c\u0435\u043d\u044f\u044e\u0442\u0441\u044f \u0442\u043e\u043b\u044c\u043a\u043e \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b X \u0444\u0443\u043d\u043a\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b\u0445 \u0442\u043e\u0447\u0435\u043a, \u0430 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b Y \u043f\u0440\u043e\u0434\u043e\u043b\u0436\u0430\u044e\u0442 \u0438\u043c\u0435\u0442\u044c \u0442\u043e \u0436\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435.<\/p>\n<h3 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440 \u043f\u0435\u0440\u0435\u0432\u043e\u0434\u0430 \u0438\u043b\u0438 \u043f\u0435\u0440\u0435\u043c\u0435\u0449\u0435\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438<\/h3>\n<ul>\n<li> \u041f\u0435\u0440\u0435\u043c\u0435\u0441\u0442\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043d\u0430 4 \u0435\u0434\u0438\u043d\u0438\u0446\u044b \u0432\u0432\u0435\u0440\u0445 \u0438 \u043d\u0430 3 \u0435\u0434\u0438\u043d\u0438\u0446\u044b \u0432\u043f\u0440\u0430\u0432\u043e:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c3421a45cc1c0ad35b18520e81ddc031_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"75\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0427\u0442\u043e\u0431\u044b \u043f\u0435\u0440\u0435\u043c\u0435\u0441\u0442\u0438\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043d\u0430 4 \u0435\u0434\u0438\u043d\u0438\u0446\u044b \u0432\u0432\u0435\u0440\u0445, \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0434\u043e\u0431\u0430\u0432\u0438\u0442\u044c \u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 4 \u0435\u0434\u0438\u043d\u0438\u0446\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-42f15821de4342f9ad62ca1f3d430a5d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x) + 4 = x^2 + 4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"137\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0410 \u0447\u0442\u043e\u0431\u044b \u0435\u0449\u0435 \u0438 \u0441\u0434\u0432\u0438\u043d\u0443\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043d\u0430 3 \u0435\u0434\u0438\u043d\u0438\u0446\u044b \u0432\u043f\u0440\u0430\u0432\u043e, \u043d\u0430\u0434\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f7b64f7ef5acc0208ecdcbf36a93b216_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"64\" style=\"vertical-align: -5px;\"><\/p>\n<p> . \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u0442\u0430\u043c, \u0433\u0434\u0435 \u0435\u0441\u0442\u044c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u043c\u044b \u043c\u043e\u0436\u0435\u043c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bde661e1b7bc62c4e804705b7a355ef5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x-3 :\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"50\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-33a30fbf704532ac9887adb3449914a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x-3) = (x-3)^2 + 4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"181\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u0441\u0434\u0432\u0438\u043d\u0443\u0442\u0430\u044f \u043d\u0430 4 \u0435\u0434\u0438\u043d\u0438\u0446\u044b \u0432\u0432\u0435\u0440\u0445 \u0438 \u043d\u0430 3 \u0435\u0434\u0438\u043d\u0438\u0446\u044b \u0432\u043f\u0440\u0430\u0432\u043e, \u0440\u0430\u0432\u043d\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7d2f913b24aecd43b30aca4a2ed58e0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(x) = (x-3)^2 + 4}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"151\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041d\u0438\u0436\u0435 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u044b \u0433\u0440\u0430\u0444\u0438\u043a\u0438 \u0438\u0441\u0445\u043e\u0434\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0438 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0447\u0442\u043e\u0431\u044b \u0432\u044b \u043c\u043e\u0433\u043b\u0438 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u0440\u0430\u0437\u043d\u0438\u0446\u0443 \u043c\u0435\u0436\u0434\u0443 \u043d\u0438\u043c\u0438: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-de-translation-ou-deplacement-d-une-fonction.webp\" alt=\"\u043f\u0440\u0438\u043c\u0435\u0440 \u043f\u0435\u0440\u0435\u0432\u043e\u0434\u0430 \u0438\u043b\u0438 \u043f\u0435\u0440\u0435\u043c\u0435\u0449\u0435\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438\" class=\"wp-image-316\" width=\"475\" height=\"374\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u041d\u0435\u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0438 \u043d\u0430\u0437\u044b\u0432\u0430\u044e\u0442 \u043a\u043e\u0441\u043e\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u0449\u0435\u043d\u0438\u0435 \u0438\u043b\u0438 \u043f\u043e\u0441\u0442\u0443\u043f\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0434\u0432\u0438\u0436\u0435\u043d\u0438\u0435, \u043a\u043e\u0433\u0434\u0430 \u043e\u0431\u0430 \u0442\u0438\u043f\u0430 \u0434\u0432\u0438\u0436\u0435\u043d\u0438\u044f \u043f\u0440\u043e\u0438\u0441\u0445\u043e\u0434\u044f\u0442 \u043e\u0434\u043d\u043e\u0432\u0440\u0435\u043c\u0435\u043d\u043d\u043e. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"reflexion-o-simetria-de-una-funcion-respecto-los-ejes-de-coordenadas\"><\/span> \u041e\u0442\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u0438\u043b\u0438 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043e\u0441\u0435\u0439 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442.<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041c\u044b \u043c\u043e\u0436\u0435\u043c \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043b\u044e\u0431\u043e\u0439 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u043e\u0439 \u043e\u0441\u0438 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c: <\/p>\n<div style=\"padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px;\">\n<p style=\"text-align:left\"> \u0427\u0442\u043e\u0431\u044b <strong>\u043e\u0442\u0440\u0430\u0437\u0438\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043e\u0441\u0438 \u0445,<\/strong> \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0438\u0437\u043c\u0435\u043d\u0438\u0442\u044c \u0437\u043d\u0430\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0442\u043e \u0435\u0441\u0442\u044c \u043d\u0443\u0436\u043d\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8122cbaf79d8273fae34a9c722301ef7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{-f(x)}.\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\"> \u0427\u0442\u043e\u0431\u044b <strong>\u043e\u0442\u0440\u0430\u0437\u0438\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043e\u0441\u0438 y,<\/strong> \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0438\u043d\u0432\u0435\u0440\u0442\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u0443\u044e \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0443\u044e <em>x<\/em> , \u0442\u043e \u0435\u0441\u0442\u044c \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4367428d9a78be3de312b14e5205e6e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(-x)}.\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/division-de-monomes-1.png\" alt=\"\u043e\u0442\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u0438\u043b\u0438 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044f \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043e\u0441\u0438 X\" class=\"wp-image-317\" width=\"378\" height=\"312\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u041a\u0430\u043a \u0432\u0438\u0434\u043d\u043e \u043d\u0430 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0435\u043c \u0433\u0440\u0430\u0444\u0438\u043a\u0435, \u0443\u043c\u043d\u043e\u0436\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043d\u0430 -1, \u043c\u044b \u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043a\u0438 \u0438\u043d\u0432\u0435\u0440\u0442\u0438\u0440\u0443\u0435\u043c \u0435\u0435 (\u043e\u0440\u0430\u043d\u0436\u0435\u0432\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f), \u0438\u043b\u0438 \u0434\u0440\u0443\u0433\u0438\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438, \u0437\u0435\u0440\u043a\u0430\u043b\u044c\u043d\u043e \u043e\u0442\u043e\u0431\u0440\u0430\u0436\u0430\u0435\u043c \u0435\u0435 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043e\u0441\u0438 X. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/reflexion-ou-symetrie-autour-de-laxe-y.webp\" alt=\"\u043e\u0442\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u0438\u043b\u0438 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044f \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043e\u0441\u0438 Y\" class=\"wp-image-318\" width=\"378\" height=\"311\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u041a\u0430\u043a \u0432\u0438\u0434\u043d\u043e \u043d\u0430 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0435\u043c \u0433\u0440\u0430\u0444\u0438\u043a\u0435, \u043e\u0442\u0440\u0438\u0446\u0430\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0443\u044e <em>x<\/em> , \u043c\u044b \u0437\u0435\u0440\u043a\u0430\u043b\u044c\u043d\u043e \u043e\u0442\u043e\u0431\u0440\u0430\u0436\u0430\u0435\u043c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043e\u0441\u0438 Y (\u0441\u0432\u0435\u0442\u043b\u043e-\u0437\u0435\u043b\u0435\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f).<\/p>\n<h3 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440 \u0437\u0435\u0440\u043a\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043e\u0442\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438<\/h3>\n<ul>\n<li> \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043e\u0441\u0438 OX \u0438 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043e\u0441\u0438 OY \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-11c8e8e3276a66729e9719a4398fac1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2-4x+6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"147\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0427\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044e, \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0443\u044e \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043e\u0441\u0438 X, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d240a12433577722a9f830dc1dcf0429_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"46\" style=\"vertical-align: -5px;\"><\/p>\n<p> :<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ec1ca457c73589ee30ad6641f0d66c10_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-f(x)=-\\bigl[x^2-4x+6\\bigr]\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"185\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6cffd86481d9546a5ce3132cebe8c0d7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{-f(x)=-x^2+4x-6}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"174\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0418 \u0447\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044e, \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0443\u044e \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043e\u0441\u0438 Y, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0441\u0434\u0435\u043b\u0430\u0442\u044c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3831e7dbe8df4202b0780cbbb20432a6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"48\" style=\"vertical-align: -5px;\"><\/p>\n<p> . \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u0437\u0430\u043c\u0435\u043d\u044f\u0435\u043c \u0442\u0430\u043c, \u0433\u0434\u0435 \u0435\u0441\u0442\u044c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0432 \u0438\u0441\u0445\u043e\u0434\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0441\u043b\u0430\u0433\u0430\u0435\u043c\u044b\u043c <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9371f1e5d1cef68566c73bc482dfa55c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-x :\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"32\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-11c8e8e3276a66729e9719a4398fac1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2-4x+6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"147\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6481e91f5c0f1de72c88438cb4aefbce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x)=(-x)^2-4\\cdot (-x)+6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"229\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-04737d1dbc867b60d68e9c8f38387dc8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x)=x^2-4\\cdot (-x)+6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"201\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a9bb0ac917663f86bcba5cacc5d3f482_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(-x)=x^2+4x+6}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"161\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041d\u0438\u0436\u0435 \u0432\u044b \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u043b\u0438 \u043a\u0430\u043a \u0438\u0441\u0445\u043e\u0434\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e, \u0442\u0430\u043a \u0438 \u043d\u0430\u0439\u0434\u0435\u043d\u043d\u044b\u0435 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u044b\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-de-fonctions-symetriques-avec-les-axes-x-et-y.webp\" alt=\"\u043f\u0440\u0438\u043c\u0435\u0440 \u0444\u0443\u043d\u043a\u0446\u0438\u0439, \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u044b\u0445 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043e\u0441\u0435\u0439 x \u0438 y\" class=\"wp-image-319\" width=\"588\" height=\"557\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"expansiones-y-contracciones-de-las-funciones\"><\/span> \u0420\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u0438\u0435 \u0438 \u0441\u043e\u043a\u0440\u0430\u0449\u0435\u043d\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0439<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041a\u0430\u043a \u0438 \u0432 \u0441\u043b\u0443\u0447\u0430\u0435 \u0441 \u043f\u0435\u0440\u0435\u0432\u043e\u0434\u043e\u043c, \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u0434\u0432\u0430 \u0442\u0438\u043f\u0430 \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u0438\u044f \u0438\u043b\u0438 \u0441\u0436\u0430\u0442\u0438\u044f: \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u043e\u0435 \u0438 \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u043e\u0435.<\/p>\n<h3 class=\"wp-block-heading\"> \u0412\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u0438\u0435 \u0438 \u0441\u0436\u0430\u0442\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438<\/h3>\n<p> \u0423\u043c\u043d\u043e\u0436\u0438\u0432 \u0446\u0435\u043b\u043e\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043d\u0430 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0437\u0430\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u0435\u0435 \u0440\u0430\u0441\u0448\u0438\u0440\u044f\u0442\u044c\u0441\u044f \u0438\u043b\u0438 \u0441\u0436\u0438\u043c\u0430\u0442\u044c\u0441\u044f: <\/p>\n<div style=\"padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px;\">\n<p style=\"text-align:left\"> \u0427\u0442\u043e\u0431\u044b <strong>\u0440\u0430\u0441\u0448\u0438\u0440\u0438\u0442\u044c (\u0438\u043b\u0438 \u0440\u0430\u0441\u0448\u0438\u0440\u0438\u0442\u044c) \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043f\u043e \u043e\u0441\u0438 Y,<\/strong> \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u0435\u0435 \u043d\u0430 \u0447\u0438\u0441\u043b\u043e \u0431\u043e\u043b\u044c\u0448\u0435 1:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-03a53c8010e3a92a216e3db2ceec41fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"kf(x)\\qquad k>1&#8243; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;19&#8243; width=&#187;121&#8243; style=&#187;vertical-align: -5px;&#187;><\/p>\n<\/p>\n<p style=\"text-align:left\"> \u0427\u0442\u043e\u0431\u044b <strong>\u0443\u043c\u0435\u043d\u044c\u0448\u0438\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043f\u043e \u043e\u0441\u0438 Y,<\/strong> \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u0435\u0435 \u043d\u0430 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e \u043c\u0435\u043d\u044c\u0448\u0435 1:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-189e80beb9f93693ae854541fe86e22b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"kf(x)\\qquad 0<\/div>\n<div class=&quot;wp-block-image&quot;>\n<figure class=&quot;aligncenter size-large is-resized&quot;><img decoding=&quot;async&quot; loading=&quot;lazy&quot; src=&quot;http:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/expansion-et-contraction-d-une-fonction.webp&quot; alt=&quot;expansion et contraction verticales d'une fonction&quot; class=&quot;wp-image-320&quot; width=&quot;442&quot; height=&quot;438&quot; srcset=&quot;&quot; sizes=&quot;&quot; data-src=&quot;&quot;><\/figure>\n<\/div>\n<p> Comme vous pouvez le voir dans le graphique pr\u00e9c\u00e9dent, si on multiplie une fonction par un coefficient sup\u00e9rieur \u00e0 1 (fonction verte) on la rend plus grande le long de l&#8217;axe OY, en revanche, si on multiplie une fonction par un coefficient sup\u00e9rieur \u00e0 0 mais plus petit que 1 (fonction rouge), nous le rendons plus petit le long de l&#8217;axe OY.<\/p>\n<h3 class=&quot;wp-block-heading&quot;> Expansion et contraction horizontales d&#8217;une fonction<\/h3>\n<p> Dans ce cas, au lieu de multiplier la fonction enti\u00e8re par un coefficient, pour qu&#8217;une fonction se dilate ou se contracte horizontalement, nous devons multiplier la variable ind\u00e9pendante <em>x<\/em> . <\/p>\n<div style=&quot;padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px;&quot;> Pour <strong>\u00e9tendre (ou dilater) une fonction sur l&#8217;axe X,<\/strong> il faut multiplier tous les <em>x<\/em> par un nombre compris entre 0 et 1 :&#187; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;392&#8243; width=&#187;2425&#8243; style=&#187;vertical-align: -4px;&#187;><\/p>\n<p> f(kx)\\qquad 0<\/p>\n<p style=\"text-align:left\"> \u0427\u0442\u043e\u0431\u044b <strong>\u0443\u043c\u0435\u043d\u044c\u0448\u0438\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043f\u043e \u043e\u0441\u0438 X,<\/strong> \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u0432\u0441\u0435 <em>x<\/em> \u043d\u0430 \u0447\u0438\u0441\u043b\u043e \u0431\u043e\u043b\u044c\u0448\u0435 1: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-172c2c9b2f320ce017a42e21495fc0e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(kx)\\qquad k>1&#8243; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;19&#8243; width=&#187;121&#8243; style=&#187;vertical-align: -5px;&#187;><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/contraction-horizontale-ou-expansion-d-une-fonction.webp\" alt=\"\u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u0438\u0435 \u0438\u043b\u0438 \u0441\u0436\u0430\u0442\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438\" class=\"wp-image-321\" width=\"446\" height=\"413\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u041a\u0430\u043a \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u0432\u0438\u0434\u0435\u0442\u044c \u043d\u0430 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0435\u043c \u0433\u0440\u0430\u0444\u0438\u043a\u0435, \u0435\u0441\u043b\u0438 \u043c\u044b \u0443\u043c\u043d\u043e\u0436\u0438\u043c \u0432\u0441\u0435 <em>x<\/em> \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043d\u0430 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u0431\u043e\u043b\u044c\u0448\u0435 0, \u043d\u043e \u043c\u0435\u043d\u044c\u0448\u0435 1 (\u0437\u0435\u043b\u0435\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f), \u043c\u044b \u0443\u0432\u0435\u043b\u0438\u0447\u0438\u043c \u0435\u0435 \u043f\u043e \u043e\u0441\u0438 OX, \u0441 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0435\u0441\u043b\u0438 \u043c\u044b \u0443\u043c\u043d\u043e\u0436\u0438\u043c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0441 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u043e\u043c \u0431\u043e\u043b\u044c\u0448\u0435 1 (\u043a\u0440\u0430\u0441\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f) \u0443\u043c\u0435\u043d\u044c\u0448\u0430\u0435\u043c \u043f\u043e \u043e\u0441\u0438 \u041e\u0425.<\/p>\n<h3 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u0440\u0430\u0437\u0432\u0435\u0440\u043d\u0443\u0442\u044c \u0438\u043b\u0438 \u0441\u0432\u0435\u0440\u043d\u0443\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e<\/h3>\n<ul>\n<li> \u041f\u0440\u043e\u0434\u0443\u0431\u043b\u0438\u0440\u0443\u0439\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u0438\u0440\u0440\u0430\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043f\u043e \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u0438 \u0438 \u043f\u043e \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u0438:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-df182b1121b5047a370b9a0217f223b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\sqrt{9-x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"122\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0427\u0442\u043e\u0431\u044b \u0440\u0430\u0441\u0448\u0438\u0440\u0438\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043f\u043e \u043e\u0441\u0438 Y \u043d\u0430 \u0434\u0432\u0430, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u0432\u0441\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043d\u0430 2:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1f10c9a73b34546e1fb103b07d188c16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2f(x)=2\\sqrt{9-x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"140\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0410 \u0447\u0442\u043e\u0431\u044b \u0442\u0430\u043a\u0436\u0435 \u0440\u0430\u0441\u0448\u0438\u0440\u0438\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043d\u0430 \u0434\u0432\u0430 \u043f\u043e \u043e\u0441\u0438 X, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u0432\u0441\u0435 <em>x<\/em> \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043d\u0430<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cc880ad231c4b13f10b0a4b05da2aed9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\frac{1}{2}:\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"20\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7955c308d702a9df6603dde57400f31d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f\\left(\\frac{1}{2}x\\right)=2\\sqrt{9-\\left(\\frac{1}{2}x\\right)^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"201\" style=\"vertical-align: -19px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u0434\u0443\u0431\u043b\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u0430\u044f \u043d\u0430 \u0434\u0432\u0443\u0445 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u043d\u044b\u0445 \u043e\u0441\u044f\u0445:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-891161dec71142b1dc7c87250a039b6e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\bm{f(x) = 2\\sqrt{9-\\left(\\frac{1}{2}x\\right)^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"173\" style=\"vertical-align: -19px;\"><\/p>\n<\/p>\n<p> \u041d\u0438\u0436\u0435 \u0432\u044b \u0432\u0438\u0434\u0438\u0442\u0435 \u0438\u0441\u0445\u043e\u0434\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0438 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e, \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u043d\u0443\u044e \u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043a\u0438, \u0447\u0442\u043e\u0431\u044b \u0432\u044b \u043c\u043e\u0433\u043b\u0438 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u0440\u0430\u0437\u043b\u0438\u0447\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u043d\u0438\u043c\u0438: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-de-comment-developper-et-reduire-une-fonction.webp\" alt=\"\u043f\u0440\u0438\u043c\u0435\u0440 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u0440\u0430\u0437\u0432\u0435\u0440\u043d\u0443\u0442\u044c \u0438 \u0441\u0432\u0435\u0440\u043d\u0443\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e\" class=\"wp-image-322\" width=\"434\" height=\"395\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u041a\u0430\u043a \u0432\u0438\u0434\u0438\u0442\u0435, \u043d\u043e\u0432\u044b\u0439 \u043e\u0431\u044a\u0435\u043a\u0442 (\u0444\u0438\u043e\u043b\u0435\u0442\u043e\u0432\u044b\u0439 \u0446\u0432\u0435\u0442) \u0432 \u0434\u0432\u0430 \u0440\u0430\u0437\u0430 \u0431\u043e\u043b\u044c\u0448\u0435 \u0438\u0441\u0445\u043e\u0434\u043d\u043e\u0433\u043e \u043e\u0431\u044a\u0435\u043a\u0442\u0430 (\u0441\u0438\u043d\u0438\u0439 \u0446\u0432\u0435\u0442) \u043a\u0430\u043a \u043f\u043e \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u0438, \u0442\u0430\u043a \u0438 \u043f\u043e \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u0438, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043e\u0431\u044a\u0435\u043a\u0442 \u0440\u0430\u0441\u0448\u0438\u0440\u0438\u043b\u0441\u044f. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-transformaciones-de-funciones\"><\/span> \u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043d\u0430 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0439<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 1<\/h3>\n<p> \u041f\u0435\u0440\u0435\u043c\u0435\u0441\u0442\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0442\u0440\u0435\u0442\u044c\u0435\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043d\u0430 5 \u0435\u0434\u0438\u043d\u0438\u0446 \u0432\u0432\u0435\u0440\u0445: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-40118044e198dd521201b4934a2465d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x) = 4x^3-9x-2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"155\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u043f\u0435\u0440\u0435\u043c\u0435\u0441\u0442\u0438\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043d\u0430 5 \u0435\u0434\u0438\u043d\u0438\u0446 \u0432\u0432\u0435\u0440\u0445, \u0434\u043e\u0431\u0430\u0432\u044c\u0442\u0435 5 \u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d29d1537293d975f7fbda8871622660f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} f(x) + 5 &amp; = 4x^3-9x-2 + 5 \\\\[2ex] &amp; = 4x^3-9x+3 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"62\" width=\"216\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u0441\u0434\u0432\u0438\u043d\u0443\u0442\u0430\u044f \u043d\u0430 5 \u0435\u0434\u0438\u043d\u0438\u0446, \u0440\u0430\u0432\u043d\u0430: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0d7c13d80c2d91f99f6a960223c4b904_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(x) = 4x^3-9x+3}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"156\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 2<\/h3>\n<p> \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043e\u0441\u0438 Y \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b91b7f45206484f6878a73f6891805a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x) = 2x^2-3x+6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"156\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044e, \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0443\u044e \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043e\u0441\u0438 Y, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3831e7dbe8df4202b0780cbbb20432a6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"48\" style=\"vertical-align: -5px;\"><\/p>\n<p> , \u0442\u043e \u0435\u0441\u0442\u044c \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0437\u0430\u043c\u0435\u043d\u0438\u0442\u044c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0414\u043b\u044f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6cacb15a7aa187378723791e7a017ae0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"23\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0432 \u0444\u0443\u043d\u043a\u0446\u0438\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-89980b1b6f9a88ffbf9ad6330aa357e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x) = 2(-x)^2-3\\cdot (-x)+6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"238\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-488db09618c47a0ad47b0d2e5d9a219d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x) = 2x^2+3x+6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"170\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043e\u0441\u0438 OY \u0440\u0430\u0432\u043d\u0430: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1ea68e782a0f7a69044cf73162fa23c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(x) = 2x^2+3x+6}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"156\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 3<\/h3>\n<p> \u0412\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u0435 \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u043e\u0435 \u0441\u0436\u0430\u0442\u0438\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0434\u043e \u043e\u0434\u043d\u043e\u0439 \u0442\u0440\u0435\u0442\u0438 \u0435\u0435 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u044f: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-312a893921ce7ac95eb3d5a4ede6fbeb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x) = x^3-4x^2-5x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"195\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b <em>\u0443\u043c\u0435\u043d\u044c\u0448\u0438\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e<\/em> <em>\u0447\u0435\u0440\u0435\u0437<\/em> <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-32f949a88dd584d81674904f2acc7bbe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(3x) = (3x)^3-4(3x)^2-5(3x)+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"271\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bdb33583bf5172f677c39cee38e5b22a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(3x) = 27x^3-4\\cdot 9 x^2-15x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"252\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ad5277a59fdcd9e0200b2a0e20f2a8ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(3x) = 27x^3-36 x^2-15x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"239\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0438\u043c\u0435\u0435\u0442 \u0432\u0438\u0434: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bd28fc9dab2beff532a89bd1e056c649_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(x) = 27x^3-36 x^2-15x+1}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"230\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 4<\/h3>\n<p> \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043e\u0441\u0438 OX \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u043f\u0435\u0440\u0435\u0432\u0435\u0434\u0435\u043d\u043d\u043e\u0439 \u043d\u0430 4 \u0435\u0434\u0438\u043d\u0438\u0446\u044b \u0432\u043f\u0440\u0430\u0432\u043e: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fb19b7a548b34b8dc54dec33a00d890e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x) = 3x^3-x^2+5x+8\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"196\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u041f\u0440\u0435\u0436\u0434\u0435 \u0447\u0435\u043c \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043f\u0435\u0440\u0435\u043c\u0435\u0441\u0442\u0438\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043d\u0430 4 \u0435\u0434\u0438\u043d\u0438\u0446\u044b \u0432\u043f\u0440\u0430\u0432\u043e, \u043f\u043e\u044d\u0442\u043e\u043c\u0443: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ce682e35d129267d2d363e05fd32a40e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x-4) = 3(x-4)^3-(x-4)^2+5(x-4)+8\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"359\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5f9fc4ca8d47f94f0168180fc84c65c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x-4) = 3(x-4)^3-(x-4)^2+5x-20+8\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"354\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-26f080aa9528ce8b84e4f3d86cea6863_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x-4) = 3(x-4)^3-(x-4)^2+5x-12\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"323\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u043a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u043c\u044b \u043f\u0435\u0440\u0435\u043c\u0435\u0441\u0442\u0438\u043b\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044e, \u043c\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043e\u0441\u0438 X. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043d\u0430\u0434\u043e \u0438\u043d\u0432\u0435\u0440\u0442\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-62a7ea0e19503ec030dcdaa59c9157eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle -f(x) = -\\Bigl[3(x-4)^3-(x-4)^2+5x-12\\Bigr]\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"333\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-45bad0a6a17349b172cede9f5e0bddd8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-f(x) = -3(x-4)^3+(x-4)^2-5x+12\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"319\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041a\u043e\u0440\u043e\u0447\u0435 \u0433\u043e\u0432\u043e\u0440\u044f, \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043f\u043e\u0441\u043b\u0435 \u043f\u0440\u0438\u043c\u0435\u043d\u0435\u043d\u0438\u044f \u0432\u0441\u0435\u0445 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430\u0440\u043d\u044b\u0445 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0439 \u0432\u044b\u0433\u043b\u044f\u0434\u0438\u0442 \u0442\u0430\u043a: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4b7f02414a5ebdaa48088284628d47e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(x) =-3(x-4)^3+(x-4)^2-5x+12}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"306\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 5<\/h3>\n<p> \u0421\u043c\u0435\u0441\u0442\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043d\u0430 2 \u0435\u0434\u0438\u043d\u0438\u0446\u044b \u0432\u043b\u0435\u0432\u043e, \u0437\u0430\u0442\u0435\u043c \u0440\u0430\u0441\u0448\u0438\u0440\u044c\u0442\u0435 \u0435\u0435 \u043f\u043e \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u0438 \u0432 4 \u0440\u0430\u0437\u0430: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3c33aacf88564e0d25f513ad302b229f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x) = x^4-5x^3-x-3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"187\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u043f\u0435\u0440\u0435\u043c\u0435\u0441\u0442\u0438\u043c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043d\u0430 \u0434\u0432\u0435 \u0435\u0434\u0438\u043d\u0438\u0446\u044b \u0432\u043b\u0435\u0432\u043e: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-126c5a402b4694c6f828f8afff050bb2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x+2) = (x+2)^4-5(x+2)^3-(x+2)-3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"350\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fbde42766323610c75cf99f1fa119f16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x-4) = (x+2)^4-5(x+2)^3-x-2-3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"336\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c6805820552c93988723905b4a0ae4f2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x-4) = (x+2)^4-5(x+2)^3-x-5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"305\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0410 \u0437\u0430\u0442\u0435\u043c \u0440\u0430\u0437\u043b\u043e\u0436\u0438\u043c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043f\u043e \u043e\u0441\u0438 Y \u0432 4 \u0440\u0430\u0437\u0430: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-07175c64db9d7e8074852df8944df6c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4\\cdot f(x) = 4\\cdot \\Bigl[(x+2)^4-5(x+2)^3-x-5\\Bigr]\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"332\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-580d477d32f0bfe0890bf4300ea6d7e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x) = 4(x+2)^4-20(x+2)^3-4x-20\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"311\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0412 \u0437\u0430\u043a\u043b\u044e\u0447\u0435\u043d\u0438\u0435, \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043f\u043e\u0441\u043b\u0435 \u043f\u0440\u0438\u043c\u0435\u043d\u0435\u043d\u0438\u044f \u0432\u0441\u0435\u0445 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430\u0440\u043d\u044b\u0445 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0439 \u0438\u043c\u0435\u0435\u0442 \u0432\u0438\u0434: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1109677d4c80d5ddd4796c61d491ec43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(x) =4(x+2)^4-20(x+2)^3-4x-20}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"311\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 6<\/h3>\n<p> \u0418\u0437 \u0444\u0443\u043d\u043a\u0446\u0438\u0438<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dad1214b336820b0d687af311863cb5b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x,\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c, \u043a\u0430\u043a\u043e\u0435 \u0438\u0437 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u0439 \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a\u0435 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-89346440ae4c39502126b23a77a33d48_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x-3 .\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"103\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercices-resolus-de-transformations-de-fonctions.webp\" alt=\"\u043f\u043e\u0448\u0430\u0433\u043e\u0432\u043e \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043f\u043e \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f\u043c \u0444\u0443\u043d\u043a\u0446\u0438\u0439\" class=\"wp-image-323\" width=\"345\" height=\"452\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0424\u0443\u043d\u043a\u0446\u0438\u044f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7dd7ee1df01702798c0545a0e677dd7c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x-3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"99\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u044d\u0442\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u044f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-983fed5b7a164bfcb0d3e0b5cebfd4c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"68\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u043f\u0435\u0440\u0435\u043c\u0435\u0441\u0442\u0438\u043b\u0441\u044f \u043d\u0430 3 \u0435\u0434\u0438\u043d\u0438\u0446\u044b \u0432\u043d\u0438\u0437. \u041f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e, \u0432\u044b\u0447\u0438\u0442\u0430\u044f \u0447\u0438\u0441\u043b\u043e \u0438\u0437 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0432\u044b \u043f\u0435\u0440\u0435\u043c\u0435\u0449\u0430\u0435\u0442\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0432\u043d\u0438\u0437.<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u0435<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7dd7ee1df01702798c0545a0e677dd7c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x-3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"99\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 <strong>\u043b\u0438\u043d\u0438\u0438 b)<\/strong> , \u0442\u0430\u043a \u043a\u0430\u043a \u043e\u043d\u0430 \u0441\u0434\u0432\u0438\u043d\u0443\u0442\u0430 \u043d\u0430 3 \u0435\u0434\u0438\u043d\u0438\u0446\u044b \u0432\u043d\u0438\u0437 \u043f\u043e \u0441\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044e \u0441<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b66617657d81f989c6c5d4683e180df7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x .\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u042d\u0442\u043e \u043c\u043e\u0436\u043d\u043e \u0443\u0432\u0438\u0434\u0435\u0442\u044c, \u0432\u0437\u0433\u043b\u044f\u043d\u0443\u0432 \u043d\u0430 \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u0443\u044e \u043e\u0441\u044c: \u043a\u043e\u0433\u0434\u0430<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-983fed5b7a164bfcb0d3e0b5cebfd4c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"68\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0447\u0435\u0440\u0435\u0437 0, \u043a\u0440\u0430\u0441\u043d\u0430\u044f \u043b\u0438\u043d\u0438\u044f \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0447\u0435\u0440\u0435\u0437 -3, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043e\u043d\u0430 \u0441\u043c\u0435\u0449\u0430\u0435\u0442\u0441\u044f \u043d\u0430 3 \u0435\u0434\u0438\u043d\u0438\u0446\u044b \u0432\u043d\u0438\u0437.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 7<\/h3>\n<p> \u0418\u0437 \u0444\u0443\u043d\u043a\u0446\u0438\u0438<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e1bdc795bee6a8b1a1919130f22ed548_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2+2,\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"111\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c, \u043a\u0430\u043a\u0430\u044f \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u0430 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u0435\u043c \u0444\u0443\u043d\u043a\u0446\u0438\u0438 <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-805285c257f852940155a59881e77197_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=(x-6)^2+2 .\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"155\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/problemes-resolus-de-transformations-de-fonctions.webp\" alt=\"\u0440\u0435\u0448\u0435\u043d\u044b \u0437\u0430\u0434\u0430\u0447\u0438 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0439\" class=\"wp-image-324\" width=\"586\" height=\"350\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0424\u0443\u043d\u043a\u0446\u0438\u044f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-34a59683b5fe280b2ad03b3a77d12552_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=(x-6)^2+2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"150\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u044d\u0442\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u044f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2e5bac9d65f6cadab9818bc92de4830f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2+2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"106\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0441\u0434\u0432\u0438\u043d\u0443\u0442\u043e \u043d\u0430 6 \u0435\u0434\u0438\u043d\u0438\u0446 \u0432\u043f\u0440\u0430\u0432\u043e. \u041c\u044b \u043c\u043e\u0436\u0435\u043c \u0443\u0431\u0435\u0434\u0438\u0442\u044c\u0441\u044f \u0432 \u044d\u0442\u043e\u043c, \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0432 <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-08c4660cf5137f59fa8264aa436dfdbe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x-6):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"74\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2e5bac9d65f6cadab9818bc92de4830f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2+2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"106\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7f2572ed3c877df9b660d302e833e334_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x-6)=(x-6)^2+2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"180\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u0435<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-34a59683b5fe280b2ad03b3a77d12552_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=(x-6)^2+2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"150\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 <strong>\u043f\u0430\u0440\u0430\u0431\u043e\u043b\u0435 \u0432)<\/strong> , \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043e\u043d\u0430 \u0441\u0434\u0432\u0438\u043d\u0443\u0442\u0430 \u043d\u0430 6 \u0435\u0434\u0438\u043d\u0438\u0446 \u0432\u043f\u0440\u0430\u0432\u043e \u043f\u043e \u0441\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044e \u0441<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2e5bac9d65f6cadab9818bc92de4830f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2+2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"106\" style=\"vertical-align: -5px;\"><\/p>\n<p> .<\/p>\n<p class=\"has-text-align-left\"> \u0412 \u044d\u0442\u043e\u043c \u043c\u043e\u0436\u043d\u043e \u0443\u0431\u0435\u0434\u0438\u0442\u044c\u0441\u044f, \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0432 \u043d\u0430 \u0432\u0435\u0440\u0448\u0438\u043d\u044b \u043f\u0430\u0440\u0430\u0431\u043e\u043b: \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0432\u0435\u0440\u0448\u0438\u043d\u0430\u043c\u0438 \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u044b<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2e5bac9d65f6cadab9818bc92de4830f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2+2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"106\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0430 \u0432\u0435\u0440\u0448\u0438\u043d\u0430 \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u044b \u0432) \u0440\u0430\u0432\u043d\u0430 6 \u0435\u0434\u0438\u043d\u0438\u0446\u0430\u043c, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u044f\u044f \u0441\u0434\u0432\u0438\u043d\u0443\u0442\u0430 \u043d\u0430 6 \u0435\u0434\u0438\u043d\u0438\u0446 \u0432\u043f\u0440\u0430\u0432\u043e \u043f\u043e \u0441\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044e \u0441 \u043f\u0435\u0440\u0432\u043e\u0439.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u0438 \u043a\u0430\u043a \u0438\u0445 \u043d\u0430\u0439\u0442\u0438. \u0421\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u0442\u0440\u0438 \u0442\u0438\u043f\u0430 \u0442\u0440\u0430\u043d\u0441\u0444\u043e\u0440\u043c\u0430\u0446\u0438\u0439: \u0442\u0440\u0430\u043d\u0441\u043b\u044f\u0446\u0438\u0438 (\u0438\u043b\u0438 \u0441\u043c\u0435\u0449\u0435\u043d\u0438\u044f), \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0438 \u0438 \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u0438\u044f (\u0438\u043b\u0438 \u0441\u0436\u0430\u0442\u0438\u044f). \u0412\u044b \u0442\u0430\u043a\u0436\u0435 \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f, \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0435 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c, \u0447\u0442\u043e\u0431\u044b \u0432\u044b \u043c\u043e\u0433\u043b\u0438 \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c \u0438 \u043f\u043e\u043d\u0438\u043c\u0430\u0442\u044c \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u0438, \u043d\u0435 \u043e\u0441\u0442\u0430\u0432\u043b\u044f\u044f \u043d\u0438\u043a\u0430\u043a\u0438\u0445 \u0441\u043e\u043c\u043d\u0435\u043d\u0438\u0439. \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b\u0435 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f? \u0418\u043d\u043e\u0433\u0434\u0430 \u043d\u0430\u0441 \u043c\u043e\u0433\u0443\u0442 \u043f\u043e\u043f\u0440\u043e\u0441\u0438\u0442\u044c \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a\u0438 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430\u0440\u043d\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439, &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d1%80%d0%b0%d0%b7%d0%b4%d0%b5%d0%bb%d0%b8%d1%82%d1%8c-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%b8-%d1%83\/\"> <span class=\"screen-reader-text\">\u041f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0439: \u043f\u0435\u0440\u0435\u0432\u043e\u0434\u044b, \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044f, \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u0438\u0435 \u0438 \u0441\u0436\u0430\u0442\u0438\u0435.<\/span> \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[17],"tags":[],"class_list":["post-16","post","type-post","status-publish","format-standard","hentry","category-17"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u041f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0439: \u043f\u0435\u0440\u0435\u043d\u043e\u0441, \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u0438\u0435 \u0438 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044f<\/title>\n<meta name=\"description\" content=\"\u041c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u043c 3 \u0442\u0438\u043f\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b\u0445 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0439: \u043f\u0435\u0440\u0435\u0432\u043e\u0434 (\u0438\u043b\u0438 \u0441\u043c\u0435\u0449\u0435\u043d\u0438\u0435), \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044e \u0438 \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u0438\u0435 \u0438\u043b\u0438 \u0441\u0436\u0430\u0442\u0438\u0435. \u2705\u0421 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u043c\u0438 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u043c\u0438.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/ru\/\u0434\u0435\u043b\u0435\u043d\u0438\u0435-\u043c\u043e\u043d\u043e\u043c\u043e\u0432-\u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0442\u044c-\u043f\u0440\u0438\u043c\u0435\u0440\u044b-\u0438-\u0443\/\" \/>\n<meta property=\"og:locale\" content=\"ru_RU\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u041f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0439: \u043f\u0435\u0440\u0435\u043d\u043e\u0441, \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u0438\u0435 \u0438 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044f\" \/>\n<meta property=\"og:description\" content=\"\u041c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u043c 3 \u0442\u0438\u043f\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b\u0445 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0439: \u043f\u0435\u0440\u0435\u0432\u043e\u0434 (\u0438\u043b\u0438 \u0441\u043c\u0435\u0449\u0435\u043d\u0438\u0435), \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044e \u0438 \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u0438\u0435 \u0438\u043b\u0438 \u0441\u0436\u0430\u0442\u0438\u0435. \u2705\u0421 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u043c\u0438 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u043c\u0438.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/ru\/\u0434\u0435\u043b\u0435\u043d\u0438\u0435-\u043c\u043e\u043d\u043e\u043c\u043e\u0432-\u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0442\u044c-\u043f\u0440\u0438\u043c\u0435\u0440\u044b-\u0438-\u0443\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-09-17T11:11:42+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d148ee17ffaab58b502ee771b74a931a_l3.png\" \/>\n<meta name=\"author\" content=\"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u041d\u0430\u043f\u0438\u0441\u0430\u043d\u043e \u0430\u0432\u0442\u043e\u0440\u043e\u043c\" \/>\n\t<meta name=\"twitter:data1\" content=\"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/ru\/%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d1%80%d0%b0%d0%b7%d0%b4%d0%b5%d0%bb%d0%b8%d1%82%d1%8c-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%b8-%d1%83\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/ru\/%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d1%80%d0%b0%d0%b7%d0%b4%d0%b5%d0%bb%d0%b8%d1%82%d1%8c-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%b8-%d1%83\/\"},\"author\":{\"name\":\"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430\",\"@id\":\"https:\/\/mathority.org\/ru\/#\/schema\/person\/69fe5e2ffd89c6227f6a42153bb3655b\"},\"headline\":\"\u041f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0439: \u043f\u0435\u0440\u0435\u0432\u043e\u0434\u044b, \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044f, \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u0438\u0435 \u0438 \u0441\u0436\u0430\u0442\u0438\u0435.\",\"datePublished\":\"2023-09-17T11:11:42+00:00\",\"dateModified\":\"2023-09-17T11:11:42+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/ru\/%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d1%80%d0%b0%d0%b7%d0%b4%d0%b5%d0%bb%d0%b8%d1%82%d1%8c-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%b8-%d1%83\/\"},\"wordCount\":1152,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/ru\/#organization\"},\"articleSection\":[\"\u041f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438\"],\"inLanguage\":\"ru-RU\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/ru\/%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d1%80%d0%b0%d0%b7%d0%b4%d0%b5%d0%bb%d0%b8%d1%82%d1%8c-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%b8-%d1%83\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/ru\/%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d1%80%d0%b0%d0%b7%d0%b4%d0%b5%d0%bb%d0%b8%d1%82%d1%8c-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%b8-%d1%83\/\",\"url\":\"https:\/\/mathority.org\/ru\/%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d1%80%d0%b0%d0%b7%d0%b4%d0%b5%d0%bb%d0%b8%d1%82%d1%8c-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%b8-%d1%83\/\",\"name\":\"\u041f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0439: \u043f\u0435\u0440\u0435\u043d\u043e\u0441, \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u0438\u0435 \u0438 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044f\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/ru\/#website\"},\"datePublished\":\"2023-09-17T11:11:42+00:00\",\"dateModified\":\"2023-09-17T11:11:42+00:00\",\"description\":\"\u041c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u043c 3 \u0442\u0438\u043f\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b\u0445 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0439: \u043f\u0435\u0440\u0435\u0432\u043e\u0434 (\u0438\u043b\u0438 \u0441\u043c\u0435\u0449\u0435\u043d\u0438\u0435), \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044e \u0438 \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u0438\u0435 \u0438\u043b\u0438 \u0441\u0436\u0430\u0442\u0438\u0435. \u2705\u0421 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u043c\u0438 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u043c\u0438.\",\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/ru\/%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d1%80%d0%b0%d0%b7%d0%b4%d0%b5%d0%bb%d0%b8%d1%82%d1%8c-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%b8-%d1%83\/#breadcrumb\"},\"inLanguage\":\"ru-RU\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/ru\/%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d1%80%d0%b0%d0%b7%d0%b4%d0%b5%d0%bb%d0%b8%d1%82%d1%8c-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%b8-%d1%83\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/ru\/%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d1%80%d0%b0%d0%b7%d0%b4%d0%b5%d0%bb%d0%b8%d1%82%d1%8c-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%b8-%d1%83\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathority.org\/ru\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u041f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0439: \u043f\u0435\u0440\u0435\u0432\u043e\u0434\u044b, \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044f, \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u0438\u0435 \u0438 \u0441\u0436\u0430\u0442\u0438\u0435.\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathority.org\/ru\/#website\",\"url\":\"https:\/\/mathority.org\/ru\/\",\"name\":\"Mathority\",\"description\":\"\u0413\u0434\u0435 \u043b\u044e\u0431\u043e\u043f\u044b\u0442\u0441\u0442\u0432\u043e \u0432\u0441\u0442\u0440\u0435\u0447\u0430\u0435\u0442\u0441\u044f \u0441 \u0440\u0430\u0441\u0447\u0435\u0442\u043e\u043c!\",\"publisher\":{\"@id\":\"https:\/\/mathority.org\/ru\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathority.org\/ru\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"ru-RU\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mathority.org\/ru\/#organization\",\"name\":\"Mathority\",\"url\":\"https:\/\/mathority.org\/ru\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"ru-RU\",\"@id\":\"https:\/\/mathority.org\/ru\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/mathority.org\/ru\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"contentUrl\":\"https:\/\/mathority.org\/ru\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"width\":703,\"height\":151,\"caption\":\"Mathority\"},\"image\":{\"@id\":\"https:\/\/mathority.org\/ru\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathority.org\/ru\/#\/schema\/person\/69fe5e2ffd89c6227f6a42153bb3655b\",\"name\":\"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"ru-RU\",\"@id\":\"https:\/\/mathority.org\/ru\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g\",\"caption\":\"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430\"},\"sameAs\":[\"http:\/\/mathority.org\/ru\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u041f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0439: \u043f\u0435\u0440\u0435\u043d\u043e\u0441, \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u0438\u0435 \u0438 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044f","description":"\u041c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u043c 3 \u0442\u0438\u043f\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b\u0445 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0439: \u043f\u0435\u0440\u0435\u0432\u043e\u0434 (\u0438\u043b\u0438 \u0441\u043c\u0435\u0449\u0435\u043d\u0438\u0435), \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044e \u0438 \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u0438\u0435 \u0438\u043b\u0438 \u0441\u0436\u0430\u0442\u0438\u0435. \u2705\u0421 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u043c\u0438 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u043c\u0438.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathority.org\/ru\/\u0434\u0435\u043b\u0435\u043d\u0438\u0435-\u043c\u043e\u043d\u043e\u043c\u043e\u0432-\u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0442\u044c-\u043f\u0440\u0438\u043c\u0435\u0440\u044b-\u0438-\u0443\/","og_locale":"ru_RU","og_type":"article","og_title":"\u041f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0439: \u043f\u0435\u0440\u0435\u043d\u043e\u0441, \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u0438\u0435 \u0438 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044f","og_description":"\u041c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u043c 3 \u0442\u0438\u043f\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b\u0445 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0439: \u043f\u0435\u0440\u0435\u0432\u043e\u0434 (\u0438\u043b\u0438 \u0441\u043c\u0435\u0449\u0435\u043d\u0438\u0435), \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044e \u0438 \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u0438\u0435 \u0438\u043b\u0438 \u0441\u0436\u0430\u0442\u0438\u0435. \u2705\u0421 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u043c\u0438 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u043c\u0438.","og_url":"https:\/\/mathority.org\/ru\/\u0434\u0435\u043b\u0435\u043d\u0438\u0435-\u043c\u043e\u043d\u043e\u043c\u043e\u0432-\u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0442\u044c-\u043f\u0440\u0438\u043c\u0435\u0440\u044b-\u0438-\u0443\/","article_published_time":"2023-09-17T11:11:42+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d148ee17ffaab58b502ee771b74a931a_l3.png"}],"author":"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430","twitter_card":"summary_large_image","twitter_misc":{"\u041d\u0430\u043f\u0438\u0441\u0430\u043d\u043e \u0430\u0432\u0442\u043e\u0440\u043e\u043c":"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathority.org\/ru\/%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d1%80%d0%b0%d0%b7%d0%b4%d0%b5%d0%bb%d0%b8%d1%82%d1%8c-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%b8-%d1%83\/#article","isPartOf":{"@id":"https:\/\/mathority.org\/ru\/%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d1%80%d0%b0%d0%b7%d0%b4%d0%b5%d0%bb%d0%b8%d1%82%d1%8c-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%b8-%d1%83\/"},"author":{"name":"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430","@id":"https:\/\/mathority.org\/ru\/#\/schema\/person\/69fe5e2ffd89c6227f6a42153bb3655b"},"headline":"\u041f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0439: \u043f\u0435\u0440\u0435\u0432\u043e\u0434\u044b, \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044f, \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u0438\u0435 \u0438 \u0441\u0436\u0430\u0442\u0438\u0435.","datePublished":"2023-09-17T11:11:42+00:00","dateModified":"2023-09-17T11:11:42+00:00","mainEntityOfPage":{"@id":"https:\/\/mathority.org\/ru\/%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d1%80%d0%b0%d0%b7%d0%b4%d0%b5%d0%bb%d0%b8%d1%82%d1%8c-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%b8-%d1%83\/"},"wordCount":1152,"commentCount":0,"publisher":{"@id":"https:\/\/mathority.org\/ru\/#organization"},"articleSection":["\u041f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438"],"inLanguage":"ru-RU","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathority.org\/ru\/%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d1%80%d0%b0%d0%b7%d0%b4%d0%b5%d0%bb%d0%b8%d1%82%d1%8c-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%b8-%d1%83\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathority.org\/ru\/%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d1%80%d0%b0%d0%b7%d0%b4%d0%b5%d0%bb%d0%b8%d1%82%d1%8c-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%b8-%d1%83\/","url":"https:\/\/mathority.org\/ru\/%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d1%80%d0%b0%d0%b7%d0%b4%d0%b5%d0%bb%d0%b8%d1%82%d1%8c-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%b8-%d1%83\/","name":"\u041f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0439: \u043f\u0435\u0440\u0435\u043d\u043e\u0441, \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u0438\u0435 \u0438 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044f","isPartOf":{"@id":"https:\/\/mathority.org\/ru\/#website"},"datePublished":"2023-09-17T11:11:42+00:00","dateModified":"2023-09-17T11:11:42+00:00","description":"\u041c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u043c 3 \u0442\u0438\u043f\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b\u0445 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0439: \u043f\u0435\u0440\u0435\u0432\u043e\u0434 (\u0438\u043b\u0438 \u0441\u043c\u0435\u0449\u0435\u043d\u0438\u0435), \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044e \u0438 \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u0438\u0435 \u0438\u043b\u0438 \u0441\u0436\u0430\u0442\u0438\u0435. \u2705\u0421 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u043c\u0438 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u043c\u0438.","breadcrumb":{"@id":"https:\/\/mathority.org\/ru\/%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d1%80%d0%b0%d0%b7%d0%b4%d0%b5%d0%bb%d0%b8%d1%82%d1%8c-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%b8-%d1%83\/#breadcrumb"},"inLanguage":"ru-RU","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathority.org\/ru\/%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d1%80%d0%b0%d0%b7%d0%b4%d0%b5%d0%bb%d0%b8%d1%82%d1%8c-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%b8-%d1%83\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathority.org\/ru\/%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d0%be%d0%b2-%d1%80%d0%b0%d0%b7%d0%b4%d0%b5%d0%bb%d0%b8%d1%82%d1%8c-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%b8-%d1%83\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathority.org\/ru\/"},{"@type":"ListItem","position":2,"name":"\u041f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0439: \u043f\u0435\u0440\u0435\u0432\u043e\u0434\u044b, \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044f, \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u0438\u0435 \u0438 \u0441\u0436\u0430\u0442\u0438\u0435."}]},{"@type":"WebSite","@id":"https:\/\/mathority.org\/ru\/#website","url":"https:\/\/mathority.org\/ru\/","name":"Mathority","description":"\u0413\u0434\u0435 \u043b\u044e\u0431\u043e\u043f\u044b\u0442\u0441\u0442\u0432\u043e \u0432\u0441\u0442\u0440\u0435\u0447\u0430\u0435\u0442\u0441\u044f \u0441 \u0440\u0430\u0441\u0447\u0435\u0442\u043e\u043c!","publisher":{"@id":"https:\/\/mathority.org\/ru\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathority.org\/ru\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"ru-RU"},{"@type":"Organization","@id":"https:\/\/mathority.org\/ru\/#organization","name":"Mathority","url":"https:\/\/mathority.org\/ru\/","logo":{"@type":"ImageObject","inLanguage":"ru-RU","@id":"https:\/\/mathority.org\/ru\/#\/schema\/logo\/image\/","url":"https:\/\/mathority.org\/ru\/wp-content\/uploads\/2023\/10\/mathority-logo.png","contentUrl":"https:\/\/mathority.org\/ru\/wp-content\/uploads\/2023\/10\/mathority-logo.png","width":703,"height":151,"caption":"Mathority"},"image":{"@id":"https:\/\/mathority.org\/ru\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/mathority.org\/ru\/#\/schema\/person\/69fe5e2ffd89c6227f6a42153bb3655b","name":"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430","image":{"@type":"ImageObject","inLanguage":"ru-RU","@id":"https:\/\/mathority.org\/ru\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g","caption":"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430"},"sameAs":["http:\/\/mathority.org\/ru"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/mathority.org\/ru\/wp-json\/wp\/v2\/posts\/16","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathority.org\/ru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathority.org\/ru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathority.org\/ru\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathority.org\/ru\/wp-json\/wp\/v2\/comments?post=16"}],"version-history":[{"count":0,"href":"https:\/\/mathority.org\/ru\/wp-json\/wp\/v2\/posts\/16\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathority.org\/ru\/wp-json\/wp\/v2\/media?parent=16"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathority.org\/ru\/wp-json\/wp\/v2\/categories?post=16"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathority.org\/ru\/wp-json\/wp\/v2\/tags?post=16"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}