Question

What is the effect on the graph of the function f(x) = 2x when f(x) is replaced with f(2/3x)?

A) vertical stretching

B) vertical compression

C) horizontal compression

D) horizontal stretching

Answer 1

Answer:it’s horizontal stretching

Explanation:

if you’re in usa test prep, it is NOT vertical compression.

Answer 2

This will be an effect of vertical compression.

Explanation:

We have to determine the change on the graph of the function f(x) = 2x when f(x) is replaced with
`f((2)/(3)x )`.

Therefore,
`f((2)/(3) x) = 2((2)/(3)x )= (4)/(3) x`

It is clear that for the same value of x the y-value decreased by the factor
`(2)/(3)`.

Hence, this will be an effect of vertical compression. ( Answer )