{"id":10,"date":"2023-09-17T11:16:54","date_gmt":"2023-09-17T11:16:54","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d1%84%d1%83%d0%bd%d0%ba%d1%86%d0%b8%d1%8f-%d0%ba%d0%b2%d0%b0%d0%b4%d1%80%d0%b0%d1%82%d0%b8%d1%87%d0%bd%d0%be%d0%b8-%d0%bf%d0%b0%d1%80%d0%b0%d0%b1%d0%be%d0%bb%d1%8b\/"},"modified":"2023-09-17T11:16:54","modified_gmt":"2023-09-17T11:16:54","slug":"%d1%84%d1%83%d0%bd%d0%ba%d1%86%d0%b8%d1%8f-%d0%ba%d0%b2%d0%b0%d0%b4%d1%80%d0%b0%d1%82%d0%b8%d1%87%d0%bd%d0%be%d0%b8-%d0%bf%d0%b0%d1%80%d0%b0%d0%b1%d0%be%d0%bb%d1%8b","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d1%84%d1%83%d0%bd%d0%ba%d1%86%d0%b8%d1%8f-%d0%ba%d0%b2%d0%b0%d0%b4%d1%80%d0%b0%d1%82%d0%b8%d1%87%d0%bd%d0%be%d0%b8-%d0%bf%d0%b0%d1%80%d0%b0%d0%b1%d0%be%d0%bb%d1%8b\/","title":{"rendered":"\u041a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0438\u043b\u0438 \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u0430"},"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 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u0430 \u0442\u0430\u043a\u0436\u0435 \u0432\u0441\u0435 \u0435\u0435 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0438: \u043a\u0440\u0438\u0432\u0438\u0437\u043d\u0430, \u0432\u0435\u0440\u0448\u0438\u043d\u0430, \u0442\u043e\u0447\u043a\u0438 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0441 \u043e\u0441\u044f\u043c\u0438 \u0438 \u0442. \u0434. \u0412\u044b \u0442\u0430\u043a\u0436\u0435 \u043d\u0430\u0443\u0447\u0438\u0442\u0435\u0441\u044c \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0442\u044c \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a\u0435. \u0418, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0440\u0430\u0445, \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u044b\u0445 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u0445 \u0438 \u0437\u0430\u0434\u0430\u0447\u0430\u0445 \u043d\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u044b\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438. <\/p>\n<p><strong><\/strong><\/p>\n<p><strong><\/strong><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-104\"><strong> <\/strong><\/div>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-una-funcion-cuadratica\"><\/span> \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f? <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong><\/strong><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-105\"><strong> <\/strong><\/div>\n<\/div>\n<p>\u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0432\u044b\u0433\u043b\u044f\u0434\u0438\u0442 \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\"> \u0412 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435 <strong>\u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u0430\u044f (\u0438\u043b\u0438 \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u0430\u044f) \u0444\u0443\u043d\u043a\u0446\u0438\u044f<\/strong> \u2014 \u044d\u0442\u043e \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0432\u0442\u043e\u0440\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438, \u0442\u043e \u0435\u0441\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u0432 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u0441\u0442\u0430\u0440\u0448\u0438\u0439 \u0447\u043b\u0435\u043d \u0438\u043c\u0435\u0435\u0442 \u0432\u0442\u043e\u0440\u0443\u044e \u0441\u0442\u0435\u043f\u0435\u043d\u044c. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \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-576d742ea12f780a76fa5809f5112086_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=ax^2+bx+c\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"154\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\"> \u0417\u043e\u043b\u043e\u0442\u043e:<\/p>\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0dfe37f98696a04358a5783f12ff4d6d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"ax^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"26\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u044b\u043c \u0447\u043b\u0435\u043d\u043e\u043c.<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e925448cc849aa310b3d4a7b77594e4b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"bx\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u043c \u0447\u043b\u0435\u043d\u043e\u043c.<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-41a04eeea923a1a0c28094a8a4680525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u043c \u0442\u0435\u0440\u043c\u0438\u043d\u043e\u043c.<\/li>\n<\/ul>\n<\/div>\n<p> \u041e\u0431\u043b\u0430\u0441\u0442\u044c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0432\u0441\u0435\u0433\u0434\u0430 \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0438\u0437 \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b. <\/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-91d461485d0f02bb14db6855a3774878_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f=\\mathbff{R}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"91\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"concavidad-y-convexidad-de-una-funcion-cuadratica\"><\/span> \u0412\u043e\u0433\u043d\u0443\u0442\u043e\u0441\u0442\u044c \u0438 \u0432\u044b\u043f\u0443\u043a\u043b\u043e\u0441\u0442\u044c \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0410\u043d\u0430\u043b\u0438\u0437\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u043a\u0440\u0438\u0432\u0438\u0437\u043d\u0443 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0439 \u0438\u043b\u0438 \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043e\u0447\u0435\u043d\u044c \u043f\u0440\u043e\u0441\u0442\u043e, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043e\u043d\u0430 \u0437\u0430\u0432\u0438\u0441\u0438\u0442 \u0442\u043e\u043b\u044c\u043a\u043e \u043e\u0442 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0433\u043e \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u0430.<\/p>\n<ul>\n<li> \u0415\u0441\u043b\u0438 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u0430, \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f <strong>\u0432\u044b\u043f\u0443\u043a\u043b\u0430<\/strong> (\u0432 \u0432\u0438\u0434\u0435<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f5ebc563dbe58138d1de6b7fe99e8d31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{\\cup}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> ). \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u0441\u0430\u043c\u043c\u0438\u0442 \u2013 \u044d\u0442\u043e \u043c\u0438\u043d\u0438\u043c\u0443\u043c.<\/li>\n<li> \u0415\u0441\u043b\u0438 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u0430, \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f <strong>\u0432\u043e\u0433\u043d\u0443\u0442\u0430<\/strong> (\u0438\u043c\u0435\u0435\u0442 \u0444\u043e\u0440\u043c\u0443<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dccbfcebef91876585ebd365457c3d24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{\\cap}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> ). \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043f\u0438\u043a \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043c\u0430\u043a\u0441\u0438\u043c\u0443\u043c\u043e\u043c. <\/li>\n<\/ul>\n<div class=\"wp-block-columns is-layout-flex wp-container-349\">\n<div class=\"wp-block-column is-layout-flow\">\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\/fonction-quadratique-ou-parabole-convexe.webp\" alt=\"\u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0438\u043b\u0438 \u0432\u044b\u043f\u0443\u043a\u043b\u0430\u044f \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u0430\" class=\"wp-image-132\" width=\"254\" height=\"259\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\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\/fonction-quadratique-ou-parabole-concave.webp\" alt=\"\u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0438\u043b\u0438 \u0432\u043e\u0433\u043d\u0443\u0442\u0430\u044f \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u0430\" class=\"wp-image-133\" width=\"255\" height=\"260\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<\/div>\n<\/div>\n<p> <strong>\u041f\u0440\u0438\u043c\u0435\u0447\u0430\u043d\u0438\u0435.<\/strong> \u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0441\u043e\u043e\u0431\u0449\u0435\u0441\u0442\u0432\u043e \u0434\u043e \u0441\u0438\u0445 \u043f\u043e\u0440 \u043d\u0435 \u0434\u043e \u043a\u043e\u043d\u0446\u0430 \u0441\u043e\u0433\u043b\u0430\u0441\u043d\u044b \u0438 \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0435\u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043f\u0440\u043e\u0444\u0435\u0441\u0441\u043e\u0440\u0430 \u0433\u043e\u0432\u043e\u0440\u044f\u0442 \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u0435: \u043e\u043d\u0438 \u043d\u0430\u0437\u044b\u0432\u0430\u044e\u0442 \u0432\u043e\u0433\u043d\u0443\u0442\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u044e, \u0438\u043c\u0435\u044e\u0449\u0443\u044e \u0444\u043e\u0440\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-f5ebc563dbe58138d1de6b7fe99e8d31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{\\cup}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0438 \u0432\u044b\u043f\u0443\u043a\u043b\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u0438\u043c\u0435\u044e\u0449\u0430\u044f \u0432\u0438\u0434<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dccbfcebef91876585ebd365457c3d24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{\\cap}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> . \u0412 \u043b\u044e\u0431\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0432\u0430\u0436\u043d\u043e \u0442\u043e, \u043a\u0430\u043a\u0443\u044e \u0444\u043e\u0440\u043c\u0443 \u0438\u043c\u0435\u0435\u0442 \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u043a\u0430\u043a\u043e\u0435 \u0431\u044b \u043d\u0430\u0437\u0432\u0430\u043d\u0438\u0435 \u043e\u043d\u0430 \u043d\u0438 \u0438\u043c\u0435\u043b\u0430. <\/p>\n<p><strong><\/strong><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-106\"><strong> <\/strong><\/div>\n<p><strong><br \/><\/strong><\/p>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"vertice-de-una-funcion-cuadratica\"><\/span> \u0412\u0435\u0440\u0448\u0438\u043d\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0427\u0442\u043e\u0431\u044b \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0437\u043d\u0430\u0442\u044c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0432\u0435\u0440\u0448\u0438\u043d\u044b \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u044b. <\/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 \u043d\u0430\u0439\u0442\u0438 \u0432\u0435\u0440\u0448\u0438\u043d\u0443 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0443 X \u0442\u043e\u0447\u043a\u0438 \u043f\u043e \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\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-93ad079a75f2c2a452e1aaf0654aaaf1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle x=\\frac{-b}{2a}\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"58\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<\/div>\n<p> \u0417\u0430\u0442\u0435\u043c \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u043d\u0430\u0439\u0442\u0438 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0443 \u0434\u0440\u0443\u0433\u043e\u0439 \u0432\u0435\u0440\u0448\u0438\u043d\u044b, \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0432 \u043e\u0431\u0440\u0430\u0437 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0432 \u044d\u0442\u043e\u0439 \u0442\u043e\u0447\u043a\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-8ad3822f13f081a20e55c52589118288_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f\\left(\\frac{-b}{2a}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"62\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0432\u0435\u0440\u0448\u0438\u043d\u044b \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 (\u0438\u043b\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-37777c8a435f1df10f87842c8bd463d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(\\frac{-b}{2a} \\ , \\ f\\left(\\frac{-b}{2a}\\right)\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"130\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"puntos-de-corte-con-los-ejes-de-una-funcion-cuadratica\"><\/span> \u0422\u043e\u0447\u043a\u0438 \u0440\u0430\u0437\u0440\u0435\u0437\u0430\u043d\u0438\u044f \u043e\u0441\u044f\u043c\u0438 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong><\/strong><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-107\"><strong> <\/strong><\/div>\n<\/div>\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\"> \u041f\u0430\u0440\u0430\u0431\u043e\u043b\u0430 \u0432\u0441\u0435\u0433\u0434\u0430 \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u0435\u0442 \u043e\u0441\u044c Y (\u043e\u0441\u044c Y), \u0438 \u044d\u0442\u043e \u043f\u0440\u043e\u0438\u0441\u0445\u043e\u0434\u0438\u0442, \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-d6889ee3f02f0af137641306363d2da7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=0.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"47\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0447\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0442\u043e\u0447\u043a\u0443 \u043e\u0442\u0441\u0435\u0447\u043a\u0438 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0441 \u043e\u0441\u044c\u044e Y, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0440\u0435\u0448\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-d449eebd1f011aebdf90931f3a66a3b4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(0).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"38\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<p> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0442\u043e\u0447\u043a\u0430 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0441 \u043e\u0441\u044c\u044e 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: <\/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-7a32a12ecec8c6b0617daf9e84bd4d07_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2-2x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"146\" 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-9d17bae0af24be9eaa8833d402a1709c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(0)=0^2-2\\cdot 0+1 = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"188\" 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-308d0aeca611c20e62ee56db1ced4618_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{(0,1)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"38\" style=\"vertical-align: -5px;\"><\/p>\n<\/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\"> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0442\u043e\u0447\u043a\u0430 \u043e\u0442\u0441\u0435\u0447\u043a\u0438 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0441 \u043e\u0441\u044c\u044e X (\u043e\u0441\u044c X) \u0432\u043e\u0437\u043d\u0438\u043a\u0430\u0435\u0442, \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-ae937c042e388c1f5126fceae07be7ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=0.\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"71\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0418\u0442\u0430\u043a, \u0447\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0442\u043e\u0447\u043a\u0443 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0441 \u043e\u0441\u044c\u044e X, \u0432\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0440\u0435\u0448\u0438\u0442\u044c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ae937c042e388c1f5126fceae07be7ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=0.\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"71\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<p> \u0412 \u043a\u0430\u0447\u0435\u0441\u0442\u0432\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u0430 \u043d\u0438\u0436\u0435 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d \u0440\u0430\u0441\u0447\u0435\u0442 \u0442\u043e\u0447\u043a\u0438 \u043e\u0442\u0441\u0435\u0447\u043a\u0438 \u043f\u043e \u043e\u0441\u0438 OX \u0442\u043e\u0439 \u0436\u0435 \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-7a32a12ecec8c6b0617daf9e84bd4d07_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2-2x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"146\" 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-62b9becef089451225ec98e56e46fb45_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0=x^2-2x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"121\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> \u0420\u0435\u0448\u0430\u0435\u043c \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u043e \u043e\u0431\u0449\u0435\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\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-bd0f7a0d21b888b4e5016eb027b534a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=\\cfrac{-b\\pm \\sqrt{b^2-4ac}}{2a}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"165\" 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-c8fa2c0e690ee979b162d63c9ee18904_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=\\cfrac{-(-2)\\pm \\sqrt{(-2)^2-4\\cdot 1\\cdot1}}{2\\cdot 1} =\\cfrac{2\\pm 0}{2} = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"348\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0442\u043e\u0447\u043a\u0430 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0441 \u043e\u0441\u044c\u044e X \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-84f3677bb18b0fdcb23f9f99693d049e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{(1,0)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"38\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043c\u044b \u043f\u043e\u043b\u0443\u0447\u0438\u043b\u0438 \u0442\u043e\u043b\u044c\u043a\u043e \u043e\u0434\u043d\u043e \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u043d\u043e \u043c\u043e\u0433\u043b\u0438 \u0431\u044b \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u044c \u0438 \u0434\u0432\u0430 \u0440\u0435\u0448\u0435\u043d\u0438\u044f. \u0412 \u0434\u0430\u043d\u043d\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u044d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u0435\u0442 \u043e\u0441\u044c X \u0432 \u0434\u0432\u0443\u0445 \u0440\u0430\u0437\u043d\u044b\u0445 \u0442\u043e\u0447\u043a\u0430\u0445. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-como-representar-una-funcion-cuadratica-o-parabola\"><\/span> \u041f\u0440\u0438\u043c\u0435\u0440 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0439 \u0438\u043b\u0438 \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong><\/strong><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-108\"><strong> <\/strong><\/div>\n<p><strong><br \/><\/strong><\/p>\n<\/div>\n<p>\u0414\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, <strong>\u043a\u0430\u043a \u0438\u0437\u043e\u0431\u0440\u0430\u0437\u0438\u0442\u044c \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e<\/strong> \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a\u0435 \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0440\u0435.<\/p>\n<ul>\n<li> \u041f\u043e\u0441\u0442\u0440\u043e\u0439\u0442\u0435 \u0433\u0440\u0430\u0444\u0438\u043a \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\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-daee208a4b18c835d0b39c0a1bbc1ba2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2-4x+5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"146\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041f\u0435\u0440\u0432\u043e\u0435, \u0447\u0442\u043e \u043d\u0443\u0436\u043d\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c, \u044d\u0442\u043e <strong>\u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0432\u0435\u0440\u0448\u0438\u043d\u0443 \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u044b.<\/strong> \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u0432\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u0441\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u043e\u0439, \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u043c\u044b \u0432\u0438\u0434\u0435\u043b\u0438 \u0432\u044b\u0448\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-c7b3ed3c7bf6661b563290769c1b3f75_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = \\cfrac{-b}{2a} = \\cfrac{-(-4)}{2\\cdot 1}= \\cfrac{4}{2}= 2\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"215\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u041a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u043c\u044b \u0443\u0437\u043d\u0430\u0435\u043c, \u0433\u0434\u0435 \u0431\u0443\u0434\u0435\u0442 \u0432\u0435\u0440\u0448\u0438\u043d\u0430, \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0442\u0430\u0431\u043b\u0438\u0446\u0443 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439: <strong>&nbsp;<\/strong> \u0412\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0432 \u0432\u0435\u0440\u0448\u0438\u043d\u0435 \u0438 \u0432 \u043e\u043a\u0440\u0443\u0436\u0430\u044e\u0449\u0438\u0445 \u0435\u0435 \u0442\u043e\u0447\u043a\u0430\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-daee208a4b18c835d0b39c0a1bbc1ba2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2-4x+5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"146\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-352\">\n<div class=\"wp-block-column is-layout-flow\">\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-20fbda178bf7ed0b06d87f8b9558352b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 2 \\ \\longrightarrow \\ f(2) = 2^2-4\\cdot2+5=1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"281\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2561b16ae2d9dc6ea4f9734bedbcdf81_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 1 \\ \\longrightarrow \\ f(1)=1^2-4\\cdot1+5=2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"281\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-790d7ae514d18f03db8e9c373adbf050_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 3 \\ \\longrightarrow \\ f(3) = 3^2-4\\cdot3+5=2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"281\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6820340ec293e65b9be9ed3e85ce8308_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 0 \\ \\longrightarrow \\ f(0) = 0^2-4\\cdot0+5=5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"281\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2b61ea6ec8c7982dc52816f3e27e1637_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 4 \\ \\longrightarrow \\ f(4) = 4^2-4\\cdot4+5=5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"281\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-361c835cbcad63310e504c58d5d603c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c|c} x &amp; f(x) \\\\ \\hline 2 &amp; 1 \\\\ 1 &amp; 2 \\\\ 3 &amp; 2 \\\\ 0 &amp; 5 \\\\ 4 &amp; 5 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"134\" width=\"78\" style=\"vertical-align: -62px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p> \u0412\u044b \u0442\u0430\u043a\u0436\u0435 \u043c\u043e\u0436\u0435\u0442\u0435 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0442\u043e\u0447\u043a\u0438 \u0440\u0430\u0437\u0440\u0435\u0437\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b\u0445 \u043e\u0441\u0435\u0439, \u0447\u0442\u043e\u0431\u044b \u043b\u0443\u0447\u0448\u0435 \u043d\u0430\u0440\u0438\u0441\u043e\u0432\u0430\u0442\u044c \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u0443, \u043d\u043e \u044d\u0442\u043e \u043d\u0435 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0441\u0442\u0440\u043e\u0433\u043e \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u044b\u043c.<\/p>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u043c \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u044b\u0435 \u0442\u043e\u0447\u043a\u0438 \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a\u0435 <strong>:<\/strong> <\/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-representer-une-fonction-quadratique-ou-parabole.webp\" alt=\"\u043f\u0440\u0438\u043c\u0435\u0440 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u0443\u044e \u0438\u043b\u0438 \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e\" class=\"wp-image-136\" width=\"260\" height=\"300\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u0418, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u0441\u043e\u0435\u0434\u0438\u043d\u044f\u0435\u043c \u0442\u043e\u0447\u043a\u0438, \u043e\u0431\u0440\u0430\u0437\u0443\u044e\u0449\u0438\u0435 \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u0443. \u0417\u0430\u0442\u0435\u043c \u043c\u044b \u0443\u0434\u043b\u0438\u043d\u044f\u0435\u043c \u0432\u0435\u0442\u0432\u0438 \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u044b, \u0447\u0442\u043e\u0431\u044b \u0443\u043a\u0430\u0437\u0430\u0442\u044c, \u0447\u0442\u043e \u043e\u043d\u0430 \u043f\u0440\u043e\u0434\u043e\u043b\u0436\u0430\u0435\u0442\u0441\u044f \u0432\u0432\u0435\u0440\u0445: <\/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\/representation-d-une-fonction-quadratique-ou-parabole.webp\" alt=\"\u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0439 \u0438\u043b\u0438 \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438\" class=\"wp-image-137\" width=\"260\" height=\"293\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-funciones-cuadraticas\"><\/span> \u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043d\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u044b\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438<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> \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0432\u0435\u0440\u0448\u0438\u043d\u0443 \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-d138d20f23c7aa6367c85907671a073b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=2x^2+8x+4\" 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\"> \u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0443 X \u0432\u0435\u0440\u0448\u0438\u043d\u044b \u043f\u043e \u0444\u043e\u0440\u043c\u0443\u043b\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-f393ada7f0e57fd87a582657183d4f2b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = \\cfrac{-b}{2a} = \\cfrac{-8}{2\\cdot 2} = \\cfrac{-8}{4} = -2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"223\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u0442\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u0434\u0440\u0443\u0433\u0443\u044e \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0443, \u043e\u0446\u0435\u043d\u0438\u0432\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0432 \u0442\u043e\u0447\u043a\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-d6067325564a5af06f7384d76157f3aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} f(-2) &amp; =2(-2)^2+8(-2)+4 \\\\[1.7ex] &amp; = 2 \\cdot 4 - 16 +4 \\\\[1.7ex] &amp; = 8-16+4 \\\\[1.7ex] &amp; = -4 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"136\" width=\"221\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0432\u0435\u0440\u0448\u0438\u043d\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \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-331c4c81f99a9749f15d457746a5f745_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{(-2,-4)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"65\" 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><strong><\/strong><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-110\"><strong> <\/strong><\/div>\n<p><strong><br \/><\/strong><\/p>\n<\/div>\n<p>\u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0442\u043e\u0447\u043a\u0438 \u0441\u0440\u0435\u0437\u0430 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0441 \u043e\u0441\u044f\u043c\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-9c09640c22a09e153b538a5aff018e02_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2-4x+3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"147\" 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 \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c \u0442\u043e\u0447\u043a\u0443 \u0440\u0430\u0437\u0440\u0435\u0437\u0430 \u043f\u043e \u043e\u0441\u0438 Y, \u043d\u0430\u043c \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-8f92d7beea0ed3a053927c2d429d3450_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(0):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"42\" 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-2b60958618b8dddf8706873a570491dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(0)=0^2-4\\cdot 0+3 = 3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"189\" 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, \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0447\u0435\u0440\u0435\u0437 \u043e\u0441\u044c Y \u0432 \u0442\u043e\u0447\u043a\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-fce94a71978b3cf055b18dce85b4746f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{(0,3)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"38\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u0447\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u0442\u043e\u0447\u043a\u0438 \u0440\u0430\u0437\u0440\u0435\u0437\u0430 \u043f\u043e \u043e\u0441\u0438 X \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0440\u0435\u0448\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-05bb421b504b7ae4aa483574cd6f28d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=0:\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"76\" 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-9c09640c22a09e153b538a5aff018e02_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2-4x+3\" 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-6d78e40252b245c2ea862b8de892b646_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0=x^2-4x+3\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"122\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0412\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u043a\u043e\u0440\u043d\u0438 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043f\u043e \u0444\u043e\u0440\u043c\u0443\u043b\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-bd0f7a0d21b888b4e5016eb027b534a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=\\cfrac{-b\\pm \\sqrt{b^2-4ac}}{2a}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"165\" 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-0d909ba6581faf5916f0b1c0df7e471f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle x=\\cfrac{-(-4)\\pm \\sqrt{(-4)^2-4\\cdot 1\\cdot 3}}{2\\cdot 1} =\\cfrac{4\\pm 2}{2} = \\begin{cases} 3 \\\\[2ex] 1 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"365\" 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 \u0440\u0430\u0437\u0440\u0435\u0437\u0430\u0435\u0442 \u043e\u0441\u044c X \u0432 \u0434\u0432\u0443\u0445 \u0442\u043e\u0447\u043a\u0430\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-30411245eaebedd735c4c804372a58e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{(1,0) \\qquad (3,0)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"112\" 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> \u041f\u043e\u0441\u0442\u0440\u043e\u0439\u0442\u0435 \u0433\u0440\u0430\u0444\u0438\u043a \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-2dea5d0b581ec4e3a7e39ff51b8a25b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=-x^2+4x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"160\" 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\"> \u042d\u0442\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f. \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0447\u0442\u043e\u0431\u044b \u0435\u0433\u043e \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0430\u0431\u0441\u0446\u0438\u0441\u0441\u0443 \u0432\u0435\u0440\u0448\u0438\u043d\u044b \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u044b \u043f\u043e \u0444\u043e\u0440\u043c\u0443\u043b\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-e0d4a78b32998cdd3b2bdff7d143e870_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = \\cfrac{-b}{2a} = \\cfrac{-4}{2\\cdot (-1)} = \\cfrac{-4}{-2} = 2\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"236\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u0441\u043e\u0437\u0434\u0430\u0435\u043c \u0442\u0430\u0431\u043b\u0438\u0446\u0443 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0435\u043c \u0441\u0442\u043e\u0438\u043c\u043e\u0441\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-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> \u0432\u0432\u0435\u0440\u0445\u0443 \u0438 \u0432\u043e\u043a\u0440\u0443\u0433 \u0432\u0435\u0440\u0445\u0430: <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-355\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-44c68320944b905e1f9bdc40e71de785_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 2 \\ \\longrightarrow \\ f(2)=-2^2+4\\cdot2+1 = 5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"294\" 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-b8a73224d11487e6153b9fce73715cbb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 1 \\ \\longrightarrow \\ f(1)=-1^2+4\\cdot1+1 = 4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"295\" 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-1db5d9c522aa5f555daed75308f9f5d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 3 \\ \\longrightarrow \\ f(3)=-3^2+4\\cdot3+1 =4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"295\" 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-8011dabdadc4055e9bb1d225a5ce0630_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 0 \\ \\longrightarrow \\ f(0)=-0^2+4\\cdot0+1 = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"294\" 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-ce78a26ab2e830c17be7b66a4d1092a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 4 \\ \\longrightarrow \\ f(4)=-4^2+4\\cdot4+1 = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"294\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-32fd0aec4a82615193ca7a894555a8fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c|c} x &amp; f(x) \\\\ \\hline 2 &amp; 5 \\\\ 1 &amp; 4 \\\\ 3 &amp; 4 \\\\ 0 &amp; 1 \\\\ 4 &amp; 1 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"134\" width=\"78\" style=\"vertical-align: -62px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0418 \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u043d\u0430\u043d\u043e\u0441\u0438\u043c \u0442\u043e\u0447\u043a\u0438 \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a \u0438 \u0440\u0438\u0441\u0443\u0435\u043c \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u0443: <\/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-fonction-quadratique.webp\" alt=\"\u043f\u0440\u0438\u043c\u0435\u0440 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438\" class=\"wp-image-138\" width=\"267\" height=\"273\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\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> \u041f\u043e\u0441\u0442\u0440\u043e\u0439\u0442\u0435 \u0433\u0440\u0430\u0444\u0438\u043a \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-743023f52acec123a62e655d6e2d954d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=-2x^2-8x-1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"169\" 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\"> \u042d\u0442\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0432\u0442\u043e\u0440\u043e\u0433\u043e \u043f\u043e\u0440\u044f\u0434\u043a\u0430. \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0447\u0442\u043e\u0431\u044b \u0435\u0435 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043d\u0430\u0439\u0442\u0438 \u0430\u0431\u0441\u0446\u0438\u0441\u0441\u0443 \u0432\u0435\u0440\u0448\u0438\u043d\u044b \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u044b \u043f\u043e \u0444\u043e\u0440\u043c\u0443\u043b\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-7b29662b7e8b1efcbc7ccdccbb082a2e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = \\cfrac{-b}{2a} = \\cfrac{-(-8)}{2\\cdot (-2)} = \\cfrac{+8}{-4} = -2\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"250\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u0441\u0442\u0440\u043e\u0438\u043c \u0442\u0430\u0431\u043b\u0438\u0446\u0443 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0435\u043c \u0441\u0442\u043e\u0438\u043c\u043e\u0441\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-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> \u0432\u0432\u0435\u0440\u0445\u0443 \u0438 \u0432\u043e\u043a\u0440\u0443\u0433 \u0432\u0435\u0440\u0445\u0430: <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-358\">\n<div class=\"wp-block-column is-layout-flow\" style=\"flex-basis:66.66%\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e77f3b13fa69e6004d7032fec18a3904_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= -2 \\ \\longrightarrow \\ f(-2)=-2(-2)^2-8\\cdot(-2)-1 =7\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"387\" 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-48e126275f3f7f7c497b49cdf8370100_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= -1 \\ \\longrightarrow \\ f(-1)=-2(-1)^2-8\\cdot(-1)-1= 5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"386\" 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-5a182ace189ad944ee9650df34fc695d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= -3 \\ \\longrightarrow \\ f(-3)=-2(-3)^2-8\\cdot(-3)-1= 5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"386\" 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-336ae2592fa21f948dc76ddb165dbf7e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 0 \\ \\longrightarrow \\ f(0)=-2\\cdot0^2-8\\cdot0-1=  -1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"330\" 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-aafee3fbd7edddaff9f3a0f72676a3b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= -4 \\ \\longrightarrow \\ f(-4)=-2(-4)^2-8\\cdot(-4)-1= -1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"400\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\" style=\"flex-basis:33.33%\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7a2a1163e24c8a1302015eaff2bd1503_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c|c} x &amp; f(x) \\\\ \\hline -2 &amp; 7 \\\\ -1 &amp; 5 \\\\ -3 &amp; 5 \\\\ 0 &amp; -1 \\\\ -4 &amp; -1 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"134\" width=\"90\" style=\"vertical-align: -62px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u043d\u0430\u043d\u043e\u0441\u0438\u043c \u0442\u043e\u0447\u043a\u0438 \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a \u0438 \u0440\u0438\u0441\u0443\u0435\u043c \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u0443: <\/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\/exercice-resolu-etape-par-etape-de-la-fonction-quadratique.webp\" alt=\"\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0448\u0435\u043d\u043e \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438\" class=\"wp-image-139\" width=\"281\" height=\"336\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\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<div id=\"ezoic-pub-ad-placeholder-111\"><\/div>\n<p> \u041f\u043e\u0441\u0442\u0440\u043e\u0439\u0442\u0435 \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u043d\u0435\u043f\u043e\u043b\u043d\u0443\u044e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\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-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<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\"> \u042d\u0442\u043e \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0432\u0442\u043e\u0440\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438. \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0447\u0442\u043e\u0431\u044b \u0435\u0433\u043e \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0430\u0431\u0441\u0446\u0438\u0441\u0441\u0443 \u0432\u0435\u0440\u0448\u0438\u043d\u044b \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u044b \u043f\u043e \u0444\u043e\u0440\u043c\u0443\u043b\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-a07f94b2c2b30a834d1292de34ae82ca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = \\cfrac{-b}{2a} = \\cfrac{-0}{2\\cdot1} = \\cfrac{0}{2} = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"188\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043d\u0435\u043f\u043e\u043b\u043d\u043e\u0439, \u0442\u0430\u043a \u043a\u0430\u043a \u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u0447\u043b\u0435\u043d\u0430 \u043f\u0435\u0440\u0432\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\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-dad334f6e000c51bc6691844f1a7ffab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b=0 .\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"44\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u0442\u0430\u0431\u043b\u0438\u0446\u0443 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0435\u043c \u0441\u0442\u043e\u0438\u043c\u043e\u0441\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-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> \u0432\u0432\u0435\u0440\u0445\u0443 \u0438 \u0432\u043e\u043a\u0440\u0443\u0433 \u0432\u0435\u0440\u0445\u0430: <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-361\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e178a1ad103666d3b960f843389f3fce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 0 \\ \\longrightarrow \\ f(0)=0^2+2=2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"228\" 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-93f9a7aaa75802bd85717ec9ebdd5ed0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 1 \\ \\longrightarrow \\ f(1)=1^2+2=3\" 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-41993cef6c11ca85064167dec57c0e9b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= -1 \\ \\longrightarrow \\ f(-1)=(-1)^2+2=3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"285\" 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-e6135721b6b23419b1fa746b6183acc8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 2 \\ \\longrightarrow \\ f(2)=2^2+2=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-3160882279942b03e20689c0764f2135_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= -2 \\ \\longrightarrow \\ f(-2)=(-2)^2+2=6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"285\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-71b2750173c31f2e7a31f9aeff6ac45f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c|c} x &amp; f(x) \\\\ \\hline 0 &amp; 2 \\\\ 1 &amp; 3 \\\\ -1 &amp; 3 \\\\ 2 &amp; 6 \\\\ -2 &amp; 6 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"134\" width=\"90\" style=\"vertical-align: -62px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u043d\u0430\u043d\u043e\u0441\u0438\u043c \u0442\u043e\u0447\u043a\u0438 \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a \u0438 \u0440\u0438\u0441\u0443\u0435\u043c \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u0443: <\/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-pour-representer-une-fonction-quadratique-incomplete.webp\" alt=\"\u0440\u0435\u0448\u0435\u043d\u044b \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043d\u0430 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u043d\u0435\u043f\u043e\u043b\u043d\u043e\u0439 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438\" class=\"wp-image-140\" width=\"255\" height=\"285\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\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> \u0420\u0435\u0448\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u0437\u0430\u0434\u0430\u0447\u0443, \u0441\u0432\u044f\u0437\u0430\u043d\u043d\u0443\u044e \u0441 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u044b\u043c\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044f\u043c\u0438:<\/p>\n<p> \u0421\u0442\u043e\u0438\u043c\u043e\u0441\u0442\u044c \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u0441\u0442\u0432\u0430 \u043f\u0440\u043e\u0434\u0443\u043a\u0446\u0438\u0438 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u0442\u0441\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439:<\/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-c3e866f3ef954385f97070c37aeda9ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2-12x+76\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"165\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0417\u043e\u043b\u043e\u0442\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-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> \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u043e \u0435\u0434\u0438\u043d\u0438\u0446 \u043f\u0440\u043e\u0434\u0443\u043a\u0446\u0438\u0438 (\u0432 \u0442\u044b\u0441\u044f\u0447\u0430\u0445) \u0438<\/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> \u2014 \u0441\u0435\u0431\u0435\u0441\u0442\u043e\u0438\u043c\u043e\u0441\u0442\u044c \u0435\u0434\u0438\u043d\u0438\u0446\u044b \u043f\u0440\u043e\u0434\u0443\u043a\u0446\u0438\u0438 (\u0432 \u0442\u044b\u0441\u044f\u0447\u0430\u0445 \u0435\u0432\u0440\u043e).<\/p>\n<ul>\n<li> \u041f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0445 \u0437\u0430\u0442\u0440\u0430\u0442 \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a\u0435.<\/li>\n<li> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435, \u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0442\u044b\u0441\u044f\u0447 \u0435\u0434\u0438\u043d\u0438\u0446 \u043f\u0440\u043e\u0434\u0443\u043a\u0446\u0438\u0438 \u0441\u043b\u0435\u0434\u0443\u0435\u0442 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0441\u0442\u0438, \u0447\u0442\u043e\u0431\u044b \u043c\u0438\u043d\u0438\u043c\u0438\u0437\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u0437\u0430\u0442\u0440\u0430\u0442\u044b. <\/li>\n<\/ul>\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\"> \u042d\u0442\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f. \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0447\u0442\u043e\u0431\u044b \u0435\u0435 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043d\u0430\u0439\u0442\u0438 \u0430\u0431\u0441\u0446\u0438\u0441\u0441\u0443 \u0432\u0435\u0440\u0448\u0438\u043d\u044b \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u044b \u043f\u043e \u0444\u043e\u0440\u043c\u0443\u043b\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-a237afcda60e57e87029cd7bca6d4134_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = \\cfrac{-b}{2a} = \\cfrac{-(-12)}{2\\cdot 1} = \\cfrac{12}{2} = 6\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"233\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u0442\u0430\u0431\u043b\u0438\u0446\u0443 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0435\u043c \u0441\u0442\u043e\u0438\u043c\u043e\u0441\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-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> \u0432\u0432\u0435\u0440\u0445\u0443 \u0438 \u0432\u043e\u043a\u0440\u0443\u0433 \u0432\u0435\u0440\u0445\u0430: <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-364\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a354ded9ac2e79841029224a3e6d062a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 6 \\ \\longrightarrow \\ f(6)=6^2-12\\cdot6+76 = 40\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"308\" 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-fad9733a751d03644ed384789ac0287c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 5 \\ \\longrightarrow \\ f(5)=5^2-12\\cdot5+76 = 41\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"307\" 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-0e801ae3dc944bbd7d5638bbba43c3eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 7 \\ \\longrightarrow \\ f(7)=7^2-12\\cdot7+76 = 41\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"307\" 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-750d34e08cf06f200b0beb142402fbd5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 4 \\ \\longrightarrow \\ f(4)=4^2-12\\cdot4+76 =  44\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"308\" 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-a8c9a488faf10289c77c6c79465bee25_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 8 \\ \\longrightarrow \\ f(8)=8^2-12\\cdot8+76 = 44\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"308\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-aa20ac17af14b4726a38ec315091fc8d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c|c} x &amp; f(x) \\\\ \\hline 6 &amp; 40 \\\\ 5 &amp; 41 \\\\ 7 &amp; 41 \\\\ 4 &amp; 44 \\\\ 8 &amp; 44 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"134\" width=\"78\" style=\"vertical-align: -62px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u043d\u0430\u043d\u043e\u0441\u0438\u043c \u0442\u043e\u0447\u043a\u0438 \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a \u0438 \u0440\u0438\u0441\u0443\u0435\u043c \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u0443: <\/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\/probleme-des-fonctions-quadratiques-ou-des-paraboles.webp\" alt=\"\u0437\u0430\u0434\u0430\u0447\u0430 \u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0439 \u0438\u043b\u0438 \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438\" class=\"wp-image-141\" width=\"440\" height=\"536\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\"> \u041a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0431\u0443\u0434\u0435\u0442 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0430, \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c, \u043d\u0430\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043c\u0438\u043d\u0438\u043c\u0438\u0437\u0438\u0440\u0443\u044e\u0442\u0441\u044f \u0437\u0430\u0442\u0440\u0430\u0442\u044b.<\/p>\n<p class=\"has-text-align-left\"> \u041a\u0430\u043a \u0432\u0438\u0434\u043d\u043e \u0438\u0437 \u0433\u0440\u0430\u0444\u0438\u043a\u0430, \u043c\u0438\u043d\u0438\u043c\u0430\u043b\u044c\u043d\u044b\u0435 \u0437\u0430\u0442\u0440\u0430\u0442\u044b \u0431\u0443\u0434\u0443\u0442 \u0434\u043e\u0441\u0442\u0438\u0433\u043d\u0443\u0442\u044b \u043d\u0430 \u0432\u0435\u0440\u0448\u0438\u043d\u0435 \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u044b. \u041f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u0438\u043c\u0435\u043d\u043d\u043e \u0437\u0434\u0435\u0441\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043f\u0440\u0438\u043d\u0438\u043c\u0430\u0435\u0442 \u043d\u0430\u0438\u043c\u0435\u043d\u044c\u0448\u0435\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435.<\/p>\n<p class=\"has-text-align-left\"> \u0412 \u0437\u0430\u043a\u043b\u044e\u0447\u0435\u043d\u0438\u0435, \u0437\u0430\u0442\u0440\u0430\u0442\u044b \u0431\u0443\u0434\u0443\u0442 \u043c\u0438\u043d\u0438\u043c\u0438\u0437\u0438\u0440\u043e\u0432\u0430\u043d\u044b \u0437\u0430 \u0441\u0447\u0435\u0442 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u0441\u0442\u0432\u0430 6000 \u0435\u0434\u0438\u043d\u0438\u0446.<\/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> \u0420\u0435\u0448\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u0437\u0430\u0434\u0430\u0447\u0443 \u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438:<\/p>\n<p> \u0421\u043f\u043e\u0440\u0442\u0441\u043c\u0435\u043d \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442 \u043c\u0435\u0442\u0430\u043d\u0438\u0435 \u043a\u043e\u043f\u044c\u044f, \u0442\u0440\u0430\u0435\u043a\u0442\u043e\u0440\u0438\u044e \u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e \u043c\u043e\u0436\u043d\u043e \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439:<\/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-9124ad4bc986e46f99678ea39abbd596_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"h(x) = -0,025x^2+2x+2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"203\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0417\u043e\u043b\u043e\u0442\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-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\u0435\u0442\u0440\u044b, \u043f\u0440\u043e\u0439\u0434\u0435\u043d\u043d\u044b\u0435 \u043a\u043e\u043f\u044c\u0435\u043c \u0438<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-14b463d0ecd5b350ced6cf1d6a12eef3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"h\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0435\u0433\u043e \u0432\u044b\u0441\u043e\u0442\u0430 (\u0442\u043e\u0436\u0435 \u0432 \u043c\u0435\u0442\u0440\u0430\u0445).<\/p>\n<p> \u041a\u0430\u043a\u0443\u044e \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u0443\u044e \u0432\u044b\u0441\u043e\u0442\u0443 \u043c\u043e\u0436\u0435\u0442 \u0434\u043e\u0441\u0442\u0438\u0447\u044c \u043a\u043e\u043f\u044c\u0435? <\/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\"> \u042d\u0442\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0442\u0440\u0430\u0435\u043a\u0442\u043e\u0440\u0438\u044f \u043a\u043e\u043f\u044c\u044f \u0431\u0443\u0434\u0435\u0442 \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u043e\u0439.<\/p>\n<p class=\"has-text-align-left\"> \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u043f\u0440\u0438 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u043c \u0447\u043b\u0435\u043d\u0435 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0439 (-0,025), \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u0430 \u0431\u0443\u0434\u0435\u0442 \u0438\u043c\u0435\u0442\u044c \u0444\u043e\u0440\u043c\u0443 \u043f\u0435\u0440\u0435\u0432\u0435\u0440\u043d\u0443\u0442\u043e\u0439 \u0431\u0443\u043a\u0432\u044b U \u0438 \u0435\u0435 \u0432\u0435\u0442\u0432\u0438 \u0431\u0443\u0434\u0443\u0442 \u0438\u0434\u0442\u0438 \u0432\u043d\u0438\u0437. \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c \u043a\u043e\u043f\u044c\u0435 \u0434\u043e\u0441\u0442\u0438\u0433\u043d\u0435\u0442 \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0439 \u0432\u044b\u0441\u043e\u0442\u044b \u0432\u0432\u0435\u0440\u0445\u0443, \u0442\u0430\u043a \u043a\u0430\u043a \u044d\u0442\u043e \u0431\u0443\u0434\u0435\u0442 \u0441\u0430\u043c\u0430\u044f \u0432\u044b\u0441\u043e\u043a\u0430\u044f \u0442\u043e\u0447\u043a\u0430 \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u044b.<\/p>\n<p class=\"has-text-align-left\"> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u0430\u0431\u0441\u0446\u0438\u0441\u0441\u0443 \u0432\u0435\u0440\u0448\u0438\u043d\u044b \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u044b \u043f\u043e \u0444\u043e\u0440\u043c\u0443\u043b\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-07e71d291cd16f48045ef0f2f184fd32_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = \\cfrac{-b}{2a} = \\cfrac{-2}{2\\cdot (-0,025)} = \\cfrac{-2}{-0,05} = 40\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"299\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0410 \u0437\u0430\u0442\u0435\u043c \u043c\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c, \u043d\u0430\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0432\u044b\u0441\u043e\u043a\u043e \u0431\u0443\u0434\u0435\u0442 \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u044c\u0441\u044f \u043a\u043e\u043f\u044c\u0435 \u0432 \u044d\u0442\u043e\u0442 \u043c\u043e\u043c\u0435\u043d\u0442, \u043e\u0446\u0435\u043d\u0438\u0432\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0432 <\/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-6a547927c07de2d21e35a28a03a13ad2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=40:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"60\" 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-e03890524ba1ae9c5c40bc3a07f49511_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"h(40) = -0,025\\cdot (40)^2+2\\cdot 40+2 = 42\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"307\" 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, \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u0430\u044f \u0432\u044b\u0441\u043e\u0442\u0430, \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u043c\u043e\u0436\u0435\u0442 \u0434\u043e\u0441\u0442\u0438\u0447\u044c \u043a\u043e\u043f\u044c\u0435, \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 42 \u043c\u0435\u0442\u0440\u0430.<\/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 8<\/h3>\n<p> \u0420\u0435\u0448\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u0437\u0430\u0434\u0430\u0447\u0443 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439:<\/p>\n<p> \u041f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0435 \u0437\u0430\u0442\u0440\u0430\u0442\u044b (\u0432 \u0435\u0432\u0440\u043e) \u043a\u043e\u043c\u043f\u0430\u043d\u0438\u0438 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u044e\u0442\u0441\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439:<\/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-56d12a49461c15a22fb08ddaebb62e9c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C(q)=40000+20q+q^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"189\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0417\u043e\u043b\u043e\u0442\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-ac7da57d7f507262338bb5168feb3e06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u043e \u0435\u0434\u0438\u043d\u0438\u0446 \u043f\u0440\u043e\u0434\u0443\u043a\u0446\u0438\u0438.<\/p>\n<p> \u0426\u0435\u043d\u0430 \u043f\u0440\u043e\u0434\u0430\u0436\u0438 \u043a\u0430\u0436\u0434\u043e\u0439 \u0435\u0434\u0438\u043d\u0438\u0446\u044b \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 520 \u0435\u0432\u0440\u043e.<\/p>\n<ul>\n<li> \u041a\u0430\u043a\u0443\u044e \u043f\u0440\u0438\u0431\u044b\u043b\u044c \u043f\u043e\u043b\u0443\u0447\u0438\u0442 \u043a\u043e\u043c\u043f\u0430\u043d\u0438\u044f, \u0435\u0441\u043b\u0438 \u043f\u0440\u043e\u0434\u0430\u0441\u0442 150 \u0435\u0434\u0438\u043d\u0438\u0446 \u043f\u0440\u043e\u0434\u0443\u043a\u0446\u0438\u0438?<\/li>\n<li> \u0421\u043a\u043e\u043b\u044c\u043a\u043e \u0435\u0434\u0438\u043d\u0438\u0446 \u0441\u043b\u0435\u0434\u0443\u0435\u0442 \u043f\u0440\u043e\u0434\u0430\u0442\u044c, \u0447\u0442\u043e\u0431\u044b \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u044c \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u0443\u044e \u043f\u0440\u0438\u0431\u044b\u043b\u044c? <\/li>\n<\/ul>\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\"> \u041a\u043e\u043c\u043f\u0430\u043d\u0438\u044f \u0437\u0430\u0440\u0430\u0431\u0430\u0442\u044b\u0432\u0430\u0435\u0442 520 \u0435\u0432\u0440\u043e \u0437\u0430 \u043a\u0430\u0436\u0434\u0443\u044e \u043f\u0440\u043e\u0434\u0430\u043d\u043d\u0443\u044e \u0435\u0434\u0438\u043d\u0438\u0446\u0443 \u043f\u0440\u043e\u0434\u0443\u043a\u0446\u0438\u0438. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u044e\u0449\u0430\u044f \u0434\u043e\u0445\u043e\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-63d0ddca6dbabb334734ab4237be3e8b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"I(q)=520\\cdot q = 520q\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"162\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0417\u043e\u043b\u043e\u0442\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-ac7da57d7f507262338bb5168feb3e06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u043f\u0440\u043e\u0434\u0430\u043d\u043e \u0435\u0434\u0438\u043d\u0438\u0446.<\/p>\n<p class=\"has-text-align-left\"> \u041d\u043e \u043d\u0430\u0441 \u0441\u043f\u0440\u0430\u0448\u0438\u0432\u0430\u044e\u0442 \u043e \u043f\u0440\u0438\u0431\u044b\u043b\u0438, \u0442\u043e \u0435\u0441\u0442\u044c \u043e \u0434\u043e\u0445\u043e\u0434\u0430\u0445 \u043c\u0438\u043d\u0443\u0441 \u0437\u0430\u0442\u0440\u0430\u0442\u044b. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0432\u044b\u0447\u0438\u0442\u0430\u0435\u043c \u0432\u044b\u0440\u0443\u0447\u043a\u0443 \u043c\u0438\u043d\u0443\u0441 \u0437\u0430\u0442\u0440\u0430\u0442\u044b, \u0447\u0442\u043e\u0431\u044b \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e, \u043e\u043f\u0438\u0441\u044b\u0432\u0430\u044e\u0449\u0443\u044e \u043f\u0440\u0438\u0431\u044b\u043b\u044c \u043a\u043e\u043c\u043f\u0430\u043d\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-8ddf6cb21f2e6c8ff0e6f7f8bc156b7e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B(q)=I(q)-C(q)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"149\" 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-846ac3b3a0fe227a1753a0eebc5eb5ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B(q)=520q - (40000+20q+q^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"260\" 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-402c374248bad2289ed95378a3a40fa1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B(q)=520q - 40000-20q-q^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" 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-6409f4ec7006749f7bcce2f9f7dab978_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B(q)=-q^2 + 500q - 40000\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"214\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u043c\u044b \u0443\u0437\u043d\u0430\u0435\u043c \u0444\u0443\u043d\u043a\u0446\u0438\u044e, \u043e\u043f\u0438\u0441\u044b\u0432\u0430\u044e\u0449\u0443\u044e \u043f\u0440\u0438\u0431\u044b\u043b\u044c \u043a\u043e\u043c\u043f\u0430\u043d\u0438\u0438, \u043f\u0440\u043e\u0441\u0442\u043e \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u044c\u0442\u0435 150 \u0432 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0447\u0442\u043e\u0431\u044b \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c \u043f\u0440\u0438\u0431\u044b\u043b\u044c, \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u043a\u043e\u043c\u043f\u0430\u043d\u0438\u044f \u043f\u043e\u043b\u0443\u0447\u0438\u0442 \u043e\u0442 \u043f\u0440\u043e\u0434\u0430\u0436\u0438 150 \u0435\u0434\u0438\u043d\u0438\u0446:<\/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-9f5e6f3101145bcf1a2ece4db3e07c4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} B(150) &amp; =-(150)^2 + 500\\cdot 150 - 40000 \\\\[2ex] &amp; =  -22500+75000 - 40000 \\\\[2ex] &amp; = \\bm{12500} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"100\" width=\"294\" 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, \u043f\u0440\u043e\u0434\u0430\u0432 150 \u0435\u0434\u0438\u043d\u0438\u0446, \u043a\u043e\u043c\u043f\u0430\u043d\u0438\u044f \u043f\u043e\u043b\u0443\u0447\u0438\u0442 \u043f\u0440\u0438\u0431\u044b\u043b\u044c \u0432 \u0440\u0430\u0437\u043c\u0435\u0440\u0435 12 500 \u0435\u0432\u0440\u043e.<\/p>\n<p class=\"has-text-align-left\"> \u0412 \u0437\u0430\u044f\u0432\u043b\u0435\u043d\u0438\u0438 \u0442\u0430\u043a\u0436\u0435 \u0441\u043e\u0434\u0435\u0440\u0436\u0438\u0442\u0441\u044f \u043f\u0440\u043e\u0441\u044c\u0431\u0430 \u043f\u043e\u0434\u0441\u0447\u0438\u0442\u0430\u0442\u044c, \u043d\u0430 \u0441\u043a\u043e\u043b\u044c\u043a\u0438\u0445 \u0435\u0434\u0438\u043d\u0438\u0446\u0430\u0445 \u0434\u043e\u0441\u0442\u0438\u0433\u0430\u0435\u0442\u0441\u044f \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u0430\u044f \u043f\u0440\u0438\u0431\u044b\u043b\u044c.<\/p>\n<p class=\"has-text-align-left\"> \u0424\u0443\u043d\u043a\u0446\u0438\u044f, \u043e\u043f\u0438\u0441\u044b\u0432\u0430\u044e\u0449\u0430\u044f \u043f\u0440\u0438\u0431\u044b\u043b\u044c, \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043e\u043d\u0430 \u0431\u0443\u0434\u0435\u0442 \u0438\u043c\u0435\u0442\u044c \u0444\u043e\u0440\u043c\u0443 \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u044b. \u0410 \u0442\u0430\u043a \u043a\u0430\u043a \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u043f\u0440\u0438 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u043c \u0447\u043b\u0435\u043d\u0435 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0439 (-1), \u0442\u043e \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u0430 \u0431\u0443\u0434\u0435\u0442 \u0438\u043c\u0435\u0442\u044c \u0444\u043e\u0440\u043c\u0443 \u043f\u0435\u0440\u0435\u0432\u0435\u0440\u043d\u0443\u0442\u043e\u0439 \u0431\u0443\u043a\u0432\u044b U \u0438 \u0435\u0435 \u0432\u0435\u0442\u0432\u0438 \u0431\u0443\u0434\u0443\u0442 \u0438\u0434\u0442\u0438 \u0432\u043d\u0438\u0437. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u044b\u0439 \u0432\u044b\u0438\u0433\u0440\u044b\u0448 \u0431\u0443\u0434\u0435\u0442 \u0434\u043e\u0441\u0442\u0438\u0433\u043d\u0443\u0442 \u0432\u0432\u0435\u0440\u0445\u0443, \u0442\u0430\u043a \u043a\u0430\u043a \u044d\u0442\u043e \u0432\u044b\u0441\u0448\u0430\u044f \u0442\u043e\u0447\u043a\u0430 \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u044b.<\/p>\n<p class=\"has-text-align-left\"> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u0430\u0431\u0441\u0446\u0438\u0441\u0441\u0443 \u0432\u0435\u0440\u0448\u0438\u043d\u044b \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u044b \u043f\u043e \u0444\u043e\u0440\u043c\u0443\u043b\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-c2a67803a02dce4f27a39a9a39319734_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = \\cfrac{-b}{2a} = \\cfrac{-500}{2\\cdot(-1)} = \\cfrac{-500}{-2} = 250\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"273\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043a\u043e\u043c\u043f\u0430\u043d\u0438\u044f \u043f\u043e\u043b\u0443\u0447\u0438\u0442 \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u0443\u044e \u043f\u0440\u0438\u0431\u044b\u043b\u044c, \u043f\u0440\u043e\u0434\u0430\u0432 250 \u0435\u0434\u0438\u043d\u0438\u0446.<\/p>\n<p class=\"has-text-align-left\"> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0434\u0430\u0436\u0435 \u0435\u0441\u043b\u0438 \u043e\u0431 \u044d\u0442\u043e\u043c \u043d\u0435 \u0433\u043e\u0432\u043e\u0440\u0438\u0442\u0441\u044f \u0432 \u043f\u0440\u0435\u0441\u0441-\u0440\u0435\u043b\u0438\u0437\u0435, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u043f\u0440\u0438\u0431\u044b\u043b\u044c, \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u043f\u043e\u043b\u0443\u0447\u0438\u043c \u043e\u0442 \u043f\u0440\u043e\u0434\u0430\u0436\u0438 \u044d\u0442\u0438\u0445 250 \u0435\u0434\u0438\u043d\u0438\u0446:<\/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-2823628ca7484d5baaa4e1b7b003cc41_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B(250) =-(250)^2 + 500\\cdot250- 40000= 22500\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"362\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u20ac <\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p><strong><\/strong><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-109\"><strong> <\/strong><\/div>\n<p><strong><br \/><\/strong><\/p>\n<\/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 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u0430 \u0442\u0430\u043a\u0436\u0435 \u0432\u0441\u0435 \u0435\u0435 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0438: \u043a\u0440\u0438\u0432\u0438\u0437\u043d\u0430, \u0432\u0435\u0440\u0448\u0438\u043d\u0430, \u0442\u043e\u0447\u043a\u0438 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0441 \u043e\u0441\u044f\u043c\u0438 \u0438 \u0442. \u0434. \u0412\u044b \u0442\u0430\u043a\u0436\u0435 \u043d\u0430\u0443\u0447\u0438\u0442\u0435\u0441\u044c \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0442\u044c \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a\u0435. \u0418, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0440\u0430\u0445, \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u044b\u0445 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u0445 \u0438 \u0437\u0430\u0434\u0430\u0447\u0430\u0445 \u043d\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u044b\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438. \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f? \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0432\u044b\u0433\u043b\u044f\u0434\u0438\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c: \u0412 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d1%84%d1%83%d0%bd%d0%ba%d1%86%d0%b8%d1%8f-%d0%ba%d0%b2%d0%b0%d0%b4%d1%80%d0%b0%d1%82%d0%b8%d1%87%d0%bd%d0%be%d0%b8-%d0%bf%d0%b0%d1%80%d0%b0%d0%b1%d0%be%d0%bb%d1%8b\/\"> <span class=\"screen-reader-text\">\u041a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0438\u043b\u0438 \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u0430<\/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-10","post","type-post","status-publish","format-standard","hentry","category-17"],"yoast_head":"<!-- This site is optimized 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