Question

what does the transformation ( f(x)\to f(4x) ) do to the graph of ( f(x) )?
stretches it horizontally
shrinks it horizontally
shrinks it vertically
stretches it vertically
submit

Explanation:

Step1: Recall horizontal transformation rule

For a function \(y = f(kx)\), if \(k>1\), the graph of \(y = f(x)\) is horizontally shrunk by a factor of \(\frac{1}{k}\).

Step2: Analyze \(f(x)\to f(4x)\)

Here \(k = 4>1\). So the graph of \(y = f(x)\) is horizontally shrunk.

Answer:

shrinks it horizontally