Question

what does the transformation $f(x) \mapsto f(x - 4)$ do to the graph of $f(x)$?
translates it 4 units left
translates it 4 units right
translates it 4 units down
translates it 4 units up

Explanation:

For function transformations, replacing $x$ with $x - h$ in $f(x)$ shifts the graph horizontally. When $h>0$, the graph shifts right by $h$ units. Here, $h=4$, so the graph shifts 4 units right.

Answer:

translates it 4 units right