Question

What is the effect on the graph of the function f(x) = 2x when f(x) is replaced with f(0.5x)? A) vertical stretching B) vertical compression C) horizontal compression D) horizontal stretching Eliminate

Answer 1

the usatestprep answer is C) horizontal compression

Step-by-step explanation: horizontal compression

f(x) = aeb(x − c) + d

If b > 1 you have a horizontal compression.

Answer 2

Option: D

Horizontal stretching.

Explanation:

We have to find the effect on the graph of the function f(x)=2x when it is replaced by f(0.5 x).

We know that when a parent function f(x) is replaced by f(kx) then either the graph is stretched horizontally or shrinked horizontally.

if k>1 then the graph is shrinked horizontally.

if k<1 then the graph is stretched horizontally.

Hence here k=0.5<1 so the graph of the function is stretched horizontally.