{"id":568932,"date":"2026-07-27T09:27:19","date_gmt":"2026-07-27T02:27:19","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=568932"},"modified":"2026-07-27T09:27:19","modified_gmt":"2026-07-27T02:27:19","slug":"ham-so-bac-2-la-gi","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/ham-so-bac-2-la-gi\/","title":{"rendered":"H\u00e0m s\u1ed1 b\u1eadc 2 l\u00e0 g\u00ec? \u0110\u1ec9nh, tr\u1ee5c \u0111\u1ed1i x\u1ee9ng v\u00e0 c\u00e1ch v\u1ebd \u0111\u1ed3 th\u1ecb"},"content":{"rendered":"<p style=\"text-align: justify;\">H\u00e0m s\u1ed1 b\u1eadc 2 (h\u00e0m s\u1ed1 b\u1eadc hai) l\u00e0 h\u00e0m s\u1ed1 c\u00f3 d\u1ea1ng y = ax\u00b2 + bx + c, trong \u0111\u00f3 a, b, c l\u00e0 c\u00e1c h\u1eb1ng s\u1ed1 v\u00e0 a \u2260 0; \u0111\u1ed3 th\u1ecb c\u1ee7a h\u00e0m s\u1ed1 b\u1eadc 2 l\u00e0 m\u1ed9t \u0111\u01b0\u1eddng parabol. \u0110\u00e2y l\u00e0 n\u1ed9i dung quan tr\u1ecdng c\u1ee7a ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n l\u1edbp 9 v\u00e0 l\u1edbp 10, xu\u1ea5t hi\u1ec7n th\u01b0\u1eddng xuy\u00ean trong c\u00e1c \u0111\u1ec1 ki\u1ec3m tra v\u00e0 \u0111\u1ec1 thi. B\u00e0i vi\u1ebft n\u00e0y tr\u00ecnh b\u00e0y <b>h\u00e0m s\u1ed1 b\u1eadc 2 l\u00e0 g\u00ec<\/b>, t\u1eadp x\u00e1c \u0111\u1ecbnh, \u0111\u1ec9nh, tr\u1ee5c \u0111\u1ed1i x\u1ee9ng, b\u1ea3ng bi\u1ebfn thi\u00ean, c\u00e1ch v\u1ebd \u0111\u1ed3 th\u1ecb c\u00f9ng nhi\u1ec1u v\u00ed d\u1ee5 v\u00e0 b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i chi ti\u1ebft \u0111\u1ec3 b\u1ea1n n\u1eafm ch\u1eafc ki\u1ebfn th\u1ee9c.<\/p>\n<h2 style=\"text-align: justify;\"><b>H\u00e0m s\u1ed1 b\u1eadc 2 l\u00e0 g\u00ec?<\/b><\/h2>\n<p style=\"text-align: justify;\">H\u00e0m s\u1ed1 b\u1eadc 2 l\u00e0 h\u00e0m s\u1ed1 cho b\u1edfi c\u00f4ng th\u1ee9c y = ax\u00b2 + bx + c v\u1edbi a \u2260 0. N\u1ebfu a = 0 th\u00ec h\u00e0m tr\u1edf th\u00e0nh h\u00e0m s\u1ed1 b\u1eadc nh\u1ea5t y = bx + c, kh\u00f4ng c\u00f2n l\u00e0 b\u1eadc 2. \u0110i\u1ec1u ki\u1ec7n a \u2260 0 ch\u00ednh l\u00e0 d\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft c\u01a1 b\u1ea3n nh\u1ea5t c\u1ee7a m\u1ed9t h\u00e0m s\u1ed1 b\u1eadc hai. T\u1eadp x\u00e1c \u0111\u1ecbnh c\u1ee7a h\u00e0m s\u1ed1 b\u1eadc 2 l\u00e0 to\u00e0n b\u1ed9 t\u1eadp s\u1ed1 th\u1ef1c R, ngh\u0129a l\u00e0 v\u1edbi m\u1ecdi gi\u00e1 tr\u1ecb x b\u1ea1n \u0111\u1ec1u t\u00ednh \u0111\u01b0\u1ee3c m\u1ed9t gi\u00e1 tr\u1ecb y t\u01b0\u01a1ng \u1ee9ng.<\/p>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter size-full wp-image-570309\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/ham-so-bac-2-la-gi-3.jpg\" alt=\"ham-so-bac-2-la-gi-3\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/ham-so-bac-2-la-gi-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/ham-so-bac-2-la-gi-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/ham-so-bac-2-la-gi-3-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2 style=\"text-align: justify;\"><b>Ph\u00e2n bi\u1ec7t h\u00e0m s\u1ed1 b\u1eadc 2 v\u1edbi h\u00e0m s\u1ed1 b\u1eadc nh\u1ea5t<\/b><\/h2>\n<p style=\"text-align: justify;\">Nhi\u1ec1u b\u1ea1n d\u1ec5 nh\u1ea7m l\u1eabn gi\u1eefa h\u00e0m b\u1eadc nh\u1ea5t v\u00e0 h\u00e0m b\u1eadc hai. B\u1ea3ng d\u01b0\u1edbi \u0111\u00e2y gi\u00fap b\u1ea1n so s\u00e1nh nhanh hai lo\u1ea1i h\u00e0m s\u1ed1 n\u00e0y \u0111\u1ec3 tr\u00e1nh sai s\u00f3t khi l\u00e0m b\u00e0i.<\/p>\n<table>\n<thead>\n<tr>\n<th><b>Ti\u00eau ch\u00ed<\/b><\/th>\n<th><b>H\u00e0m s\u1ed1 b\u1eadc nh\u1ea5t<\/b><\/th>\n<th><b>H\u00e0m s\u1ed1 b\u1eadc 2<\/b><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>D\u1ea1ng t\u1ed5ng qu\u00e1t<\/td>\n<td>y = ax + b (a \u2260 0)<\/td>\n<td>y = ax\u00b2 + bx + c (a \u2260 0)<\/td>\n<\/tr>\n<tr>\n<td>B\u1eadc cao nh\u1ea5t c\u1ee7a x<\/td>\n<td>B\u1eadc 1<\/td>\n<td>B\u1eadc 2<\/td>\n<\/tr>\n<tr>\n<td>D\u1ea1ng \u0111\u1ed3 th\u1ecb<\/td>\n<td>\u0110\u01b0\u1eddng th\u1eb3ng<\/td>\n<td>\u0110\u01b0\u1eddng parabol<\/td>\n<\/tr>\n<tr>\n<td>T\u1eadp x\u00e1c \u0111\u1ecbnh<\/td>\n<td>R<\/td>\n<td>R<\/td>\n<\/tr>\n<tr>\n<td>\u0110i\u1ec3m \u0111\u1eb7c bi\u1ec7t<\/td>\n<td>Kh\u00f4ng c\u00f3 \u0111\u1ec9nh<\/td>\n<td>C\u00f3 \u0111\u1ec9nh v\u00e0 tr\u1ee5c \u0111\u1ed1i x\u1ee9ng<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 style=\"text-align: justify;\"><b>\u0110\u1ec9nh v\u00e0 tr\u1ee5c \u0111\u1ed1i x\u1ee9ng c\u1ee7a h\u00e0m s\u1ed1 b\u1eadc 2<\/b><\/h2>\n<p style=\"text-align: justify;\">\u0110\u1ed3 th\u1ecb h\u00e0m s\u1ed1 b\u1eadc 2 c\u00f3 d\u1ea1ng m\u1ed9t \u0111\u01b0\u1eddng parabol. C\u00e1c \u0111\u1eb7c \u0111i\u1ec3m quan tr\u1ecdng gi\u00fap x\u00e1c \u0111\u1ecbnh v\u1ecb tr\u00ed v\u00e0 h\u00ecnh d\u1ea1ng c\u1ee7a parabol g\u1ed3m t\u1ecda \u0111\u1ed9 \u0111\u1ec9nh, tr\u1ee5c \u0111\u1ed1i x\u1ee9ng v\u00e0 chi\u1ec1u c\u1ee7a b\u1ec1 l\u00f5m.<\/p>\n<p style=\"text-align: justify;\">T\u1ecda \u0111\u1ed9 \u0111\u1ec9nh (I):<\/p>\n<ul style=\"text-align: justify;\">\n<li>\u0110\u1ec9nh c\u1ee7a parabol c\u00f3 t\u1ecda \u0111\u1ed9: <b>I(\u2212b\/2a ; \u2212\u0394\/4a)<\/b><\/li>\n<li>Trong \u0111\u00f3: <b>\u0394 = b\u00b2 \u2212 4ac<\/b><\/li>\n<\/ul>\n<p style=\"text-align: justify;\">Tr\u1ee5c \u0111\u1ed1i x\u1ee9ng:<\/p>\n<ul style=\"text-align: justify;\">\n<li>L\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng \u0111\u1ee9ng \u0111i qua \u0111\u1ec9nh c\u1ee7a parabol.<\/li>\n<li>C\u00f3 ph\u01b0\u01a1ng tr\u00ecnh: <b>x = \u2212b\/2a<\/b><\/li>\n<\/ul>\n<p style=\"text-align: justify;\">B\u1ec1 l\u00f5m c\u1ee7a parabol:<\/p>\n<ul style=\"text-align: justify;\">\n<li>N\u1ebfu a &gt; 0, parabol c\u00f3 b\u1ec1 l\u00f5m quay l\u00ean tr\u00ean (h\u00e0m c\u00f3 gi\u00e1 tr\u1ecb nh\u1ecf nh\u1ea5t t\u1ea1i \u0111\u1ec9nh).<\/li>\n<li>N\u1ebfu a &lt; 0, parabol c\u00f3 b\u1ec1 l\u00f5m quay xu\u1ed1ng d\u01b0\u1edbi (h\u00e0m c\u00f3 gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t t\u1ea1i \u0111\u1ec9nh).<\/li>\n<\/ul>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-570308\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/ham-so-bac-2-la-gi-2.jpg\" alt=\"ham-so-bac-2-la-gi-2\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/ham-so-bac-2-la-gi-2.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/ham-so-bac-2-la-gi-2-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/ham-so-bac-2-la-gi-2-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2 style=\"text-align: justify;\"><b>Chi\u1ec1u bi\u1ebfn thi\u00ean v\u00e0 b\u1ea3ng bi\u1ebfn thi\u00ean<\/b><\/h2>\n<p style=\"text-align: justify;\">Trong qu\u00e1 tr\u00ecnh l\u00e0m b\u00e0i t\u1eadp v\u1ec1 h\u00e0m s\u1ed1, vi\u1ec7c x\u00e1c \u0111\u1ecbnh s\u1ef1 thay \u0111\u1ed5i c\u1ee7a h\u00e0m s\u1ed1 tr\u00ean t\u1eebng kho\u1ea3ng gi\u00e1 tr\u1ecb gi\u00fap m\u00f4 t\u1ea3 r\u00f5 \u0111\u1eb7c \u0111i\u1ec3m c\u1ee7a \u0111\u1ed3 th\u1ecb. B\u1ea3ng bi\u1ebfn thi\u00ean l\u00e0 c\u00f4ng c\u1ee5 tr\u1ef1c quan gi\u00fap h\u1ec7 th\u1ed1ng h\u00f3a c\u00e1c th\u00f4ng tin quan tr\u1ecdng, h\u1ed7 tr\u1ee3 qu\u00e1 tr\u00ecnh ph\u00e2n t\u00edch v\u00e0 tr\u00ecnh b\u00e0y k\u1ebft qu\u1ea3 kh\u1ea3o s\u00e1t h\u00e0m s\u1ed1.<\/p>\n<table>\n<thead>\n<tr>\n<th><b>Tr\u01b0\u1eddng h\u1ee3p<\/b><\/th>\n<th><b>Chi\u1ec1u bi\u1ebfn thi\u00ean<\/b><\/th>\n<th><b>Gi\u00e1 tr\u1ecb \u0111\u1eb7c bi\u1ec7t<\/b><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>a &gt; 0<\/td>\n<td>Ngh\u1ecbch bi\u1ebfn tr\u00ean (\u2212\u221e; \u2212b\/2a), \u0111\u1ed3ng bi\u1ebfn tr\u00ean (\u2212b\/2a; +\u221e)<\/td>\n<td>C\u00f3 gi\u00e1 tr\u1ecb nh\u1ecf nh\u1ea5t y = \u2212\u0394\/4a t\u1ea1i \u0111\u1ec9nh<\/td>\n<\/tr>\n<tr>\n<td>a &lt; 0<\/td>\n<td>\u0110\u1ed3ng bi\u1ebfn tr\u00ean (\u2212\u221e; \u2212b\/2a), ngh\u1ecbch bi\u1ebfn tr\u00ean (\u2212b\/2a; +\u221e)<\/td>\n<td>C\u00f3 gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t y = \u2212\u0394\/4a t\u1ea1i \u0111\u1ec9nh<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 style=\"text-align: justify;\"><b>C\u00e1ch v\u1ebd \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 b\u1eadc 2<\/b><\/h2>\n<p style=\"text-align: justify;\">\u0110\u1ed3 th\u1ecb h\u00e0m s\u1ed1 b\u1eadc 2 l\u00e0 m\u1ed9t d\u1ea1ng \u0111\u1ed3 th\u1ecb quan tr\u1ecdng trong ch\u01b0\u01a1ng tr\u00ecnh to\u00e1n h\u1ecdc. Vi\u1ec7c n\u1eafm \u0111\u01b0\u1ee3c tr\u00ecnh t\u1ef1 v\u00e0 ph\u01b0\u01a1ng ph\u00e1p v\u1ebd gi\u00fap qu\u00e1 tr\u00ecnh kh\u1ea3o s\u00e1t, nh\u1eadn x\u00e9t v\u00e0 bi\u1ec3u di\u1ec5n \u0111\u1ed3 th\u1ecb tr\u1edf n\u00ean r\u00f5 r\u00e0ng, ch\u00ednh x\u00e1c h\u01a1n. B\u1ea1n c\u00f3 th\u1ec3 th\u1ef1c hi\u1ec7n theo 4 b\u01b0\u1edbc sau:<\/p>\n<ul style=\"text-align: justify;\">\n<li>B\u01b0\u1edbc 1: X\u00e1c \u0111\u1ecbnh t\u1ecda \u0111\u1ed9 \u0111\u1ec9nh I(\u2212b\/2a ; \u2212\u0394\/4a).<\/li>\n<li>B\u01b0\u1edbc 2: V\u1ebd tr\u1ee5c \u0111\u1ed1i x\u1ee9ng x = \u2212b\/2a.<\/li>\n<li>B\u01b0\u1edbc 3: X\u00e1c \u0111\u1ecbnh giao \u0111i\u1ec3m v\u1edbi tr\u1ee5c tung (\u0111i\u1ec3m (0; c)) v\u00e0 tr\u1ee5c ho\u00e0nh (nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh ax\u00b2 + bx + c = 0, n\u1ebfu c\u00f3).<\/li>\n<li>B\u01b0\u1edbc 4: L\u1ea5y th\u00eam v\u00e0i \u0111i\u1ec3m r\u1ed3i n\u1ed1i l\u1ea1i th\u00e0nh parabol, ch\u00fa \u00fd b\u1ec1 l\u00f5m theo d\u1ea5u c\u1ee7a a.<\/li>\n<\/ul>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-570307\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/ham-so-bac-2-la-gi-1.jpg\" alt=\"ham-so-bac-2-la-gi-1\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/ham-so-bac-2-la-gi-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/ham-so-bac-2-la-gi-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/ham-so-bac-2-la-gi-1-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2 style=\"text-align: justify;\"><b>V\u00ed d\u1ee5 v\u00e0 b\u00e0i t\u1eadp v\u1eadn d\u1ee5ng c\u00f3 l\u1eddi gi\u1ea3i<\/b><\/h2>\n<p style=\"text-align: justify;\">D\u01b0\u1edbi \u0111\u00e2y l\u00e0 m\u1ed9t s\u1ed1 v\u00ed d\u1ee5 \u0111\u01b0\u1ee3c gi\u1ea3i chi ti\u1ebft t\u1eebng b\u01b0\u1edbc \u0111\u1ec3 b\u1ea1n h\u00ecnh dung r\u00f5 c\u00e1ch \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c.<\/p>\n<p style=\"text-align: justify;\"><b>V\u00ed d\u1ee5 1:<\/b> T\u00ecm \u0111\u1ec9nh c\u1ee7a parabol y = x\u00b2 \u2212 4x + 3.<\/p>\n<ul style=\"text-align: justify;\">\n<li>B\u01b0\u1edbc 1: X\u00e1c \u0111\u1ecbnh h\u1ec7 s\u1ed1 a = 1, b = \u22124, c = 3.<\/li>\n<li>B\u01b0\u1edbc 2: T\u00ednh ho\u00e0nh \u0111\u1ed9 \u0111\u1ec9nh x = \u2212b\/2a = \u2212(\u22124)\/(2\u00b71) = 2.<\/li>\n<li>B\u01b0\u1edbc 3: Thay x = 2 v\u00e0o h\u00e0m: y = 2\u00b2 \u2212 4\u00b72 + 3 = 4 \u2212 8 + 3 = \u22121.<\/li>\n<li>K\u1ebft lu\u1eadn: \u0110\u1ec9nh c\u1ee7a parabol l\u00e0 I(2; \u22121).<\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><b>V\u00ed d\u1ee5 2:<\/b> H\u00e0m s\u1ed1 y = 2x\u00b2 \u2212 8x + 1 \u0111\u1ed3ng bi\u1ebfn, ngh\u1ecbch bi\u1ebfn tr\u00ean kho\u1ea3ng n\u00e0o?<\/p>\n<ul style=\"text-align: justify;\">\n<li>B\u01b0\u1edbc 1: a = 2 &gt; 0 n\u00ean parabol c\u00f3 b\u1ec1 l\u00f5m quay l\u00ean, h\u00e0m ngh\u1ecbch bi\u1ebfn r\u1ed3i m\u1edbi \u0111\u1ed3ng bi\u1ebfn.<\/li>\n<li>B\u01b0\u1edbc 2: Ho\u00e0nh \u0111\u1ed9 \u0111\u1ec9nh x = \u2212b\/2a = \u2212(\u22128)\/(2\u00b72) = 2.<\/li>\n<li>K\u1ebft lu\u1eadn: H\u00e0m ngh\u1ecbch bi\u1ebfn tr\u00ean (\u2212\u221e; 2) v\u00e0 \u0111\u1ed3ng bi\u1ebfn tr\u00ean (2; +\u221e).<\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><b>V\u00ed d\u1ee5 3:<\/b> T\u00ecm gi\u00e1 tr\u1ecb nh\u1ecf nh\u1ea5t c\u1ee7a y = x\u00b2 \u2212 6x + 10.<\/p>\n<ul style=\"text-align: justify;\">\n<li>B\u01b0\u1edbc 1: a = 1 &gt; 0 n\u00ean h\u00e0m \u0111\u1ea1t gi\u00e1 tr\u1ecb nh\u1ecf nh\u1ea5t t\u1ea1i \u0111\u1ec9nh.<\/li>\n<li>B\u01b0\u1edbc 2: Ho\u00e0nh \u0111\u1ed9 \u0111\u1ec9nh x = \u2212b\/2a = \u2212(\u22126)\/(2\u00b71) = 3.<\/li>\n<li>B\u01b0\u1edbc 3: Thay x = 3: y = 3\u00b2 \u2212 6\u00b73 + 10 = 9 \u2212 18 + 10 = 1.<\/li>\n<li>K\u1ebft lu\u1eadn: Gi\u00e1 tr\u1ecb nh\u1ecf nh\u1ea5t c\u1ee7a h\u00e0m s\u1ed1 l\u00e0 1, \u0111\u1ea1t \u0111\u01b0\u1ee3c khi x = 3.<\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><b>V\u00ed d\u1ee5 4:<\/b> T\u00ecm giao \u0111i\u1ec3m c\u1ee7a parabol y = x\u00b2 \u2212 5x + 6 v\u1edbi tr\u1ee5c ho\u00e0nh.<\/p>\n<ul style=\"text-align: justify;\">\n<li>B\u01b0\u1edbc 1: Giao \u0111i\u1ec3m v\u1edbi tr\u1ee5c ho\u00e0nh l\u00e0 nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh x\u00b2 \u2212 5x + 6 = 0.<\/li>\n<li>B\u01b0\u1edbc 2: Ph\u00e2n t\u00edch th\u00e0nh (x \u2212 2)(x \u2212 3) = 0, suy ra x = 2 ho\u1eb7c x = 3.<\/li>\n<li>K\u1ebft lu\u1eadn: Parabol c\u1eaft tr\u1ee5c ho\u00e0nh t\u1ea1i hai \u0111i\u1ec3m (2; 0) v\u00e0 (3; 0).<\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><b>B\u00e0i t\u1eadp tr\u1eafc nghi\u1ec7m:<\/b> \u0110\u1ed3 th\u1ecb h\u00e0m s\u1ed1 b\u1eadc 2 l\u00e0 h\u00ecnh g\u00ec? A. \u0110\u01b0\u1eddng th\u1eb3ng B. Parabol C. \u0110\u01b0\u1eddng tr\u00f2n D. Hypebol. <b>\u0110\u00e1p \u00e1n: B (Parabol).<\/b><\/p>\n<h2 style=\"text-align: justify;\"><b>\u1ee8ng d\u1ee5ng th\u1ef1c t\u1ebf c\u1ee7a h\u00e0m s\u1ed1 b\u1eadc 2<\/b><\/h2>\n<p style=\"text-align: justify;\">H\u00e0m s\u1ed1 b\u1eadc 2 kh\u00f4ng ch\u1ec9 l\u00e0 ki\u1ebfn th\u1ee9c tr\u00ean s\u00e1ch v\u1edf m\u00e0 c\u00f2n xu\u1ea5t hi\u1ec7n trong nhi\u1ec1u t\u00ecnh hu\u1ed1ng \u0111\u1eddi s\u1ed1ng. Qu\u1ef9 \u0111\u1ea1o c\u1ee7a m\u1ed9t v\u1eadt \u0111\u01b0\u1ee3c n\u00e9m l\u00ean (nh\u01b0 qu\u1ea3 b\u00f3ng, tia n\u01b0\u1edbc phun) c\u00f3 d\u1ea1ng parabol v\u00e0 \u0111\u01b0\u1ee3c m\u00f4 t\u1ea3 b\u1eb1ng h\u00e0m b\u1eadc hai. Trong ki\u1ebfn tr\u00fac, nhi\u1ec1u c\u00e2y c\u1ea7u, m\u00e1i v\u00f2m hay \u0103ng-ten parabol c\u0169ng l\u1ea5y h\u00ecnh d\u1ea1ng n\u00e0y \u0111\u1ec3 ph\u00e2n b\u1ed1 l\u1ef1c v\u00e0 thu s\u00f3ng t\u1ed1i \u01b0u. Ngo\u00e0i ra, b\u00e0i to\u00e1n t\u00ecm gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t \u2013 nh\u1ecf nh\u1ea5t c\u1ee7a h\u00e0m b\u1eadc 2 c\u00f2n \u0111\u01b0\u1ee3c d\u00f9ng \u0111\u1ec3 t\u1ed1i \u01b0u l\u1ee3i nhu\u1eadn, di\u1ec7n t\u00edch ho\u1eb7c chi ph\u00ed trong kinh t\u1ebf v\u00e0 k\u1ef9 thu\u1eadt.<\/p>\n<h2 style=\"text-align: justify;\"><b>C\u00e2u h\u1ecfi th\u01b0\u1eddng g\u1eb7p v\u1ec1 h\u00e0m s\u1ed1 b\u1eadc 2<\/b><\/h2>\n<h3 style=\"text-align: justify;\"><b>H\u00e0m s\u1ed1 b\u1eadc 2 l\u00e0 g\u00ec?<\/b><\/h3>\n<p style=\"text-align: justify;\">H\u00e0m s\u1ed1 b\u1eadc 2 l\u00e0 h\u00e0m s\u1ed1 d\u1ea1ng y = ax\u00b2 + bx + c v\u1edbi a \u2260 0, \u0111\u1ed3 th\u1ecb l\u00e0 m\u1ed9t \u0111\u01b0\u1eddng parabol.<\/p>\n<h3 style=\"text-align: justify;\"><b>T\u1eadp x\u00e1c \u0111\u1ecbnh c\u1ee7a h\u00e0m s\u1ed1 b\u1eadc 2 l\u00e0 g\u00ec?<\/b><\/h3>\n<p style=\"text-align: justify;\">T\u1eadp x\u00e1c \u0111\u1ecbnh c\u1ee7a h\u00e0m s\u1ed1 b\u1eadc 2 l\u00e0 to\u00e0n b\u1ed9 t\u1eadp s\u1ed1 th\u1ef1c R, v\u00ec m\u1ecdi gi\u00e1 tr\u1ecb x \u0111\u1ec1u t\u00ednh \u0111\u01b0\u1ee3c y.<\/p>\n<h3 style=\"text-align: justify;\"><b>T\u1ecda \u0111\u1ed9 \u0111\u1ec9nh c\u1ee7a parabol t\u00ednh th\u1ebf n\u00e0o?<\/b><\/h3>\n<p style=\"text-align: justify;\">\u0110\u1ec9nh I c\u00f3 t\u1ecda \u0111\u1ed9 (\u2212b\/2a ; \u2212\u0394\/4a) v\u1edbi \u0394 = b\u00b2 \u2212 4ac.<\/p>\n<h3 style=\"text-align: justify;\"><b>Tr\u1ee5c \u0111\u1ed1i x\u1ee9ng c\u1ee7a h\u00e0m s\u1ed1 b\u1eadc 2 l\u00e0 g\u00ec?<\/b><\/h3>\n<p style=\"text-align: justify;\">Tr\u1ee5c \u0111\u1ed1i x\u1ee9ng l\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng \u0111\u1ee9ng x = \u2212b\/2a \u0111i qua \u0111\u1ec9nh c\u1ee7a parabol.<\/p>\n<h3 style=\"text-align: justify;\"><b>Khi n\u00e0o h\u00e0m s\u1ed1 b\u1eadc 2 c\u00f3 gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t, nh\u1ecf nh\u1ea5t?<\/b><\/h3>\n<p style=\"text-align: justify;\">N\u1ebfu a &gt; 0 h\u00e0m c\u00f3 gi\u00e1 tr\u1ecb nh\u1ecf nh\u1ea5t t\u1ea1i \u0111\u1ec9nh; n\u1ebfu a &lt; 0 h\u00e0m c\u00f3 gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t t\u1ea1i \u0111\u1ec9nh.<\/p>\n<h3 style=\"text-align: justify;\"><b>L\u00e0m sao ph\u00e2n bi\u1ec7t h\u00e0m b\u1eadc 2 v\u1edbi h\u00e0m b\u1eadc nh\u1ea5t?<\/b><\/h3>\n<p style=\"text-align: justify;\">H\u00e0m b\u1eadc 2 c\u00f3 s\u1ed1 h\u1ea1ng ax\u00b2 v\u1edbi a \u2260 0 v\u00e0 \u0111\u1ed3 th\u1ecb l\u00e0 parabol, c\u00f2n h\u00e0m b\u1eadc nh\u1ea5t ch\u1ec9 c\u00f3 b\u1eadc 1 v\u00e0 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng.<\/p>\n<p><script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"FAQPage\",\"mainEntity\":[{\"@type\":\"Question\",\"name\":\"H\u00e0m s\u1ed1 b\u1eadc 2 l\u00e0 g\u00ec?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"H\u00e0m s\u1ed1 b\u1eadc 2 l\u00e0 h\u00e0m s\u1ed1 d\u1ea1ng y = ax\u00b2 + bx + c v\u1edbi a kh\u00e1c 0, \u0111\u1ed3 th\u1ecb l\u00e0 m\u1ed9t \u0111\u01b0\u1eddng parabol.\"}},{\"@type\":\"Question\",\"name\":\"T\u1eadp x\u00e1c \u0111\u1ecbnh c\u1ee7a h\u00e0m s\u1ed1 b\u1eadc 2 l\u00e0 g\u00ec?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"T\u1eadp x\u00e1c \u0111\u1ecbnh c\u1ee7a h\u00e0m s\u1ed1 b\u1eadc 2 l\u00e0 to\u00e0n b\u1ed9 t\u1eadp s\u1ed1 th\u1ef1c R, v\u00ec m\u1ecdi gi\u00e1 tr\u1ecb x \u0111\u1ec1u t\u00ednh \u0111\u01b0\u1ee3c y.\"}},{\"@type\":\"Question\",\"name\":\"T\u1ecda \u0111\u1ed9 \u0111\u1ec9nh c\u1ee7a parabol t\u00ednh th\u1ebf n\u00e0o?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"\u0110\u1ec9nh I c\u00f3 t\u1ecda \u0111\u1ed9 (\u2212b\/2a ; \u2212\u0394\/4a) v\u1edbi \u0394 = b\u00b2 \u2212 4ac.\"}},{\"@type\":\"Question\",\"name\":\"Tr\u1ee5c \u0111\u1ed1i x\u1ee9ng c\u1ee7a h\u00e0m s\u1ed1 b\u1eadc 2 l\u00e0 g\u00ec?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Tr\u1ee5c \u0111\u1ed1i x\u1ee9ng l\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng \u0111\u1ee9ng x = \u2212b\/2a \u0111i qua \u0111\u1ec9nh c\u1ee7a parabol.\"}},{\"@type\":\"Question\",\"name\":\"Khi n\u00e0o h\u00e0m s\u1ed1 b\u1eadc 2 c\u00f3 gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t, nh\u1ecf nh\u1ea5t?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"N\u1ebfu a l\u1edbn h\u01a1n 0 h\u00e0m c\u00f3 gi\u00e1 tr\u1ecb nh\u1ecf nh\u1ea5t t\u1ea1i \u0111\u1ec9nh; n\u1ebfu a nh\u1ecf h\u01a1n 0 h\u00e0m c\u00f3 gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t t\u1ea1i \u0111\u1ec9nh.\"}},{\"@type\":\"Question\",\"name\":\"L\u00e0m sao ph\u00e2n bi\u1ec7t h\u00e0m b\u1eadc 2 v\u1edbi h\u00e0m b\u1eadc nh\u1ea5t?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"H\u00e0m b\u1eadc 2 c\u00f3 s\u1ed1 h\u1ea1ng ax\u00b2 v\u1edbi a kh\u00e1c 0 v\u00e0 \u0111\u1ed3 th\u1ecb l\u00e0 parabol, c\u00f2n h\u00e0m b\u1eadc nh\u1ea5t ch\u1ec9 c\u00f3 b\u1eadc 1 v\u00e0 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng.\"}}]}<\/script><\/p>\n<h2 style=\"text-align: justify;\"><b>K\u1ebft lu\u1eadn<\/b><\/h2>\n<p style=\"text-align: justify;\">T\u00f3m l\u1ea1i, h\u00e0m s\u1ed1 b\u1eadc 2 c\u00f3 d\u1ea1ng y = ax\u00b2 + bx + c (a \u2260 0), \u0111\u1ed3 th\u1ecb l\u00e0 parabol v\u1edbi \u0111\u1ec9nh I(\u2212b\/2a; \u2212\u0394\/4a) v\u00e0 tr\u1ee5c \u0111\u1ed1i x\u1ee9ng x = \u2212b\/2a. N\u1eafm v\u1eefng b\u1ea3ng bi\u1ebfn thi\u00ean v\u00e0 c\u00e1ch v\u1ebd \u0111\u1ed3 th\u1ecb gi\u00fap b\u1ea1n gi\u1ea3i nhanh c\u00e1c b\u00e0i to\u00e1n li\u00ean quan. \u0110\u1ec3 h\u1ecdc th\u00eam, m\u1eddi b\u1ea1n tham kh\u1ea3o c\u00e1c b\u00e0i <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/parabol\/\">parabol l\u00e0 g\u00ec<\/a>, <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-hinh-tron\/\">c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh tr\u00f2n<\/a> v\u00e0 <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-tam-giac\/\">c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c<\/a> tr\u00ean chuy\u00ean m\u1ee5c tin t\u1ee9c c\u1ee7a Ho\u00e0ng H\u00e0 Mobile.<\/p>\n<p style=\"text-align: justify;\"><b>Xem th\u00eam:<\/b><\/p>\n<ul>\n<li><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/he-phuong-trinh\/\">H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh l\u00e0 g\u00ec? C\u00e1ch gi\u1ea3i b\u1eb1ng th\u1ebf v\u00e0 c\u1ed9ng \u0111\u1ea1i s\u1ed1<\/a><\/li>\n<li><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/gia-tri-tuyet-doi\/\">Gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i l\u00e0 g\u00ec? T\u00ednh ch\u1ea5t v\u00e0 c\u00e1ch gi\u1ea3i b\u00e0i t\u1eadp<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>H\u00e0m s\u1ed1 b\u1eadc 2 (h\u00e0m s\u1ed1 b\u1eadc hai) l\u00e0 h\u00e0m s\u1ed1 c\u00f3 d\u1ea1ng y = ax\u00b2 + bx + c, trong \u0111\u00f3 a, b, c l\u00e0 c\u00e1c h\u1eb1ng s\u1ed1 v\u00e0 a \u2260 0; \u0111\u1ed3 th\u1ecb c\u1ee7a h\u00e0m s\u1ed1 b\u1eadc 2 l\u00e0 m\u1ed9t \u0111\u01b0\u1eddng parabol. \u0110\u00e2y l\u00e0 n\u1ed9i dung quan tr\u1ecdng c\u1ee7a ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n l\u1edbp [&hellip;]<\/p>\n","protected":false},"author":84,"featured_media":570306,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"h\u00e0m s\u1ed1 b\u1eadc 2","_yoast_wpseo_title":"H\u00e0m s\u1ed1 b\u1eadc 2 l\u00e0 g\u00ec? \u0110\u1ec9nh v\u00e0 c\u00e1ch v\u1ebd \u0111\u1ed3 th\u1ecb","_yoast_wpseo_metadesc":"H\u00e0m s\u1ed1 b\u1eadc 2 l\u00e0 g\u00ec? T\u00ecm hi\u1ec3u c\u00f4ng th\u1ee9c, \u0111\u1ec9nh, tr\u1ee5c \u0111\u1ed1i x\u1ee9ng, b\u1ea3ng bi\u1ebfn thi\u00ean v\u00e0 c\u00e1ch v\u1ebd \u0111\u1ed3 th\u1ecb parabol k\u00e8m b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i. Xem chi ti\u1ebft t\u1ea1i Ho\u00e0ng H\u00e0 Mobile.","footnotes":""},"categories":[29235,3910,30453],"tags":[],"class_list":["post-568932","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-goc-to-mo","category-kham-pha","category-kien-thuc"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.3 (Yoast SEO v27.4) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>H\u00e0m s\u1ed1 b\u1eadc 2 l\u00e0 g\u00ec? \u0110\u1ec9nh v\u00e0 c\u00e1ch v\u1ebd \u0111\u1ed3 th\u1ecb<\/title>\n<meta name=\"description\" content=\"H\u00e0m s\u1ed1 b\u1eadc 2 l\u00e0 g\u00ec? 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