Question

describe the transformation: \\( g(x) = f(4x) \\) options: horizontal stretch of 4, vertical compression of 1/4, horizontal compression of 1/4, vertical stretch of 4

Explanation:

Step1: Recall horizontal transformation rule

For $g(x)=f(kx)$, if $k>1$, it is a horizontal compression by $\frac{1}{k}$.

Step2: Apply rule to given function

Here, $k=4$, so the transformation is a horizontal compression by $\frac{1}{4}$.

Answer:

Horizontal compression of 1/4