Question

Which function shows horizontal translation and a vertical stretch? A. f(x)=-2|-x|. B. f(x)=-1/3|x|-7. C. f(x)=-|-x+1|+4. D. f(x)=5|x-4|-1

Answer 1

Transformations

Translations

We have that are two types of translation:

- horizontal

- vertical

Given a function f(x) and a number c, we have that

- it is translated horizontally

if f(x + c)

- it is translated vertically

if f(x) + c

For example,

the function f(x) = |x| is translated

- 2 units horizontally if we write

|x +2|

- 2 units vertically if we write

|x| + 2

In the choices we have, the choices that show horizontal translations are:

C. f(x)=-|-x+1|+4.

D. f(x)=5|x-4|-1