Question

Identify a horizontal or vertical stretch or compression of the function f(x) = |x| by observing the equation of the function g(x)=|3x|.

A. A vertical compression by a factor of 1/3.

B. A horizontal stretch by a factor of 1/3.

C. A veritcal stretch by a factor of 1/3.

D. A Horizontal compression by a factor of 1/3.

Answer 1

Is there a formula for this?

Answer 2

http://www.regentsprep.org/regents/math/algtrig/atp9/funclesson1.htm

Answer 3

This is helpful

Answer 4

I'm still having trouble @ArkGoLucky

Answer 5

When the transformation is f(ax) and a is 0<a<1, then the function is stretch horizontally by a factor of a. Basically, all the x-values of the function will be multiplied by 1/a.
If a > 1, then the transformation is a horizontal shrink and all the x-values should be divided by a

Answer 6

So that means this is a horizontal shrink right?

Answer 7

In this case, the function is f(3x), that means the function is being compressed by a factor of 1/3 or

Answer 8

Yes

Answer 9

Think of it like all the x-values going into the function are being increased so the greater y-values will appear sooner

Answer 10

@ArkGoLucky So my answer is D, A Horizontal compression by a factor of 1/3 ?

Answer 11

yes

Answer 12

thank you

Answer 13

You're welcome