Question

describe the dilation in g(x) = 1/3(x) as it relates to the graph of the parent function. g(x) is a select choice of the parent function by a factor of 1/3.

Explanation:

Step1: Recall dilation rules

When a function $y = af(x)$ where $0 < a< 1$, the graph of the function is a vertical compression of the parent - function $y = f(x)$. Here, $g(x)=\frac{1}{3}x$ and the parent function is $y = x$. Since $a=\frac{1}{3}$ and $0<\frac{1}{3}<1$, it is a vertical transformation.

Answer:

vertical compression