прилож.3 Домашнее задание

Для проблем 1-9 запишите уравнение исходной (родительской) функции и перечислите преобразования. Постройте эскиз графиков исходной функции и итогового результата преобразования.

1.      g(x) = x ² – 1   Parent:  ______________________________________

                                    Transformations:________________________________

2.      f(x) =   Parent:  ______________________________________

                                    Transformations:________________________________

3.      h(x) =            Parent:   ______________________________________

                                                Transformations:________________________________

4.      g(x) = -2(x+1)² + 3      Parent:   ______________________________________

                                                Transformations:________________________________

5.      g(x) =            Parent:   ______________________________________

                                                Transformations:________________________________

6.      f(x) =  - 2         Parent:   ______________________________________

                                                Transformations:________________________________

7.      h(x) =   Parent:   ______________________________________

                                                Transformations:________________________________

8.      h(x) = - x²  + 1            Parent:   ______________________________________

                                                Transformations:________________________________

9.      h(x) =           Parent:   ______________________________________

                                                Transformations:________________________________

For problems 10 – 15, given the parent function and a description of the transformation, write the equation of the transformed function, f(x).

Для проблем 10-15 имеем название исходной функции и описание преобразований. Напишите уравнение трансформированной функции.

10.  Absolute value—vertical shift up 5, horizontal shift right 3. ___________________________________

11.  Linear—vertical shrink by ________________________________________________

12.  Root —reflected over the x axis, vertical shift down 2._________________________________________

13.  Exponential—vertical stretch by 8 ________________________________________________________

14.  Quadratic—vertical stretch by 5, horizontal shift left 8.________________________________________

15.  Which graph best represents the function f(x) = 2x²  - 2?                         

a.                               b.                                c.                                   d.