Question

What is the effect on the graph of the function f(x) = |x| when f(x) is changed to f(4x)? A) stretched vertically B) compressed vertically C) stretched horizontally D) compressed horizontally

Answer 1

the correct answer is c i just got it wrong

Explanation:

Answer 2

D) compressed horizontally

Explanation:

he graph of the function f(x) = |x|

f(x) is changed to f(4x)

When we multiply some number with f(x) outside , then there will be a vertical stretch or compression on the graph

When we multiply some number with x inside f(x), then there will be a horizontal stretch or compression on the graph

Here 4 is multiplied with x inside f(x)

If the number is greater than 0 and less than 1 , then its a horizontal stretch

If the number is greater than 1 then it is a horizontal compression

Here 4 is greater than 1, so there will be a horizontal compression by a factor 1/4