Answer:
[tex]g(x)=|\frac{x}{3}|[/tex]Explanation:
We are given absolute value function:
[tex]f(x)=|x|[/tex]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:
[tex]\begin{gathered} g(x)=f(cx) \\ \end{gathered}[/tex]Stretch if:
[tex]0Compress if:[tex]c\text{ }>1[/tex]Since our function is Stretched by a factor of 3, therefore our function g(x) is:
[tex]g(x)=f(\frac{x}{3})=|\frac{x}{3}|[/tex]This is a new function.
