Answer
$a.$
Starting with the graph of $f(x)$,
- compress it horizontally by factor 4... to get $f(4x)$ ,
$b.$
Starting with the graph of $f(x)$,
- stretch it horizontally by factor $\displaystyle \frac{1}{4}$... to get $f(\displaystyle \frac{1}{4}x)$ ,
Work Step by Step
The exercise is to describe transformations,
so the answer is given in step-by-step form.