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

Option: D

Horizontal stretching.

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.