Сдвиг графика функции у=х2 вдоль осей координат (введение)

Сдвиг графика функцииy = x вдоль осей координат2                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  y = x2y = x2 - 2y = x2 + 4{5C22544A-7EE6-4342-B048-85BDC9FD1C3A}x012y014{5C22544A-7EE6-4342-B048-85BDC9FD1C3A}x012y-2-12{5C22544A-7EE6-4342-B048-85BDC9FD1C3A}x012y459yx1231234-1-2В.П. (0;0)В.П. (0;-2)В.П. (0;4)















Задание 1. Укажите координаты вершины параболы, которая получена сдвигом вдоль оси у:параболы y = 3x2 на 2 ед. вниз параболы y = -4x2 на 1 ед. вверхпараболы y = 0,5x2 на 4 ед. вверхпараболы y = -0,1x2 на 3 ед. вниз(0; -2)(0; 1)(0; 4)(0;-3)

Задание 2. Ответьте с помощью схематического рисунка, какие из следующих функций принимают:- только положительные значения,- только отрицательные значения:а) y = 3x2 + 6б) y = -4x2 - 2в) y = 3x2 - 5г) y = 0,01х2 + 2                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 yx62-2-5














Задание 3. Постройте в одной координатной плоскости графики следующих функций:1) y = x2 - 32) y = - x2 - 43) y = x2 + 14) y = - х2 + 5                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  y = x2y = (x-2)2y = (x+4)2{5C22544A-7EE6-4342-B048-85BDC9FD1C3A}x012y014{5C22544A-7EE6-4342-B048-85BDC9FD1C3A}x234y014{5C22544A-7EE6-4342-B048-85BDC9FD1C3A}x-4-3-2y014yx1231234-1-2В.П. (0;0)В.П. (2;0)В.П. (-4;0)-4















Задание 4. Укажите координаты вершины параболы, которая получена сдвигом вдоль оси х, и задайте эту функцию формулой:параболы y = 4x2 на 3 ед. вправо параболы y = -x2 на 2 ед. влевопараболы y = 0,7x2 на 4 ед. вправопараболы y = -2x2 на 6 ед. влево(3; 0), (-2; 0),(4; 0),(-6; 0),y = 4(x-3)2y = - (x+2)2y = 0,7(x-4)2y = -2(x+6)2



Задание 5. Постройте в одной координатной плоскости графики следующих функций:1) y = (x + 4)22) y = - (x - 3)23) y = (x – 2)2 4) y = - (х + 1)2                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  yx1231234-1-2y = (x+1)2 - 21) y = (x+1)2 2) y = (x+1)2 - 2на 1 ед.на 2 ед.
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 yx1231234-1-2y = (x-2)2 +31) y = (x-2)2 2) y = (x-2)2 + 3на 2 ед.на 3 ед.
Задание 6. Постройте в одной координатной плоскости графики следующих функций:1) y = x2 - 42) y = - (x + 2)2 - 63) y = (x + 3)2 + 14) y = - (х – 3)2 + 55) y = (х – 4)2 - 8Для данных функций заполните следующую таблицу:{5940675A-B579-460E-94D1-54222C63F5DA}Функция12345В.П. (координаты)Нули функции Домашнее задание1) п. 2.3 читать, правила выучить;2) №№ 212, 214, 218, 222, 224.