Answer:

Step-by-step explanation:
We are given absolute value function:

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:

Stretch if:
![0Compress if:[tex]c\text{ }>1](https://img.qammunity.org/2023/formulas/mathematics/college/xbre3v7rapzygy4o3iu28j60je9bbrli2h.png)
Since our function is Stretched by a factor of 3, therefore our function g(x) is:

This is a new function.