Question

Question 10 of 10 The graph of the absolute value parent function, f(x) = [xl, is stretched horizontally by a factor of 3 to create the graph of g(x). What function is g(x)?

Answer 1

Step-by-step explanation:

g(x) = |1/3x|

Answer 2

`g(x)=|(x)/(3)|`

Step-by-step explanation:

We are given absolute value function:

`f(x)=|x|`

It has been stretched horizontally by a factor of 3, we need to find a new function that shows the stretched functions:

Stretch-Compress-along x:

`\begin{gathered} g(x)=f(cx) \\ \end{gathered}`

Stretch if:

`0Compress if:[tex]c\text{ }>1`

Since our function is Stretched by a factor of 3, therefore our function g(x) is:

`g(x)=f((x)/(3))=|(x)/(3)|`

This is a new function.