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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)?

User Mavam
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2 Answers

4 votes

Answer:

Step-by-step explanation:

g(x) = |1/3x|

User Giancarlo Melis
by
6.8k points
5 votes

Answer:


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.