Question

Suppose that g(x) = f(x - 5). Which statement best compares the graph of

Answer 1

Every tranformation from a parent function $f(x)$ to a child function $g(x)$ like

$g(x)=f(x+k)$

results in a horizontal translation. In particular, if $k>0$, the graph is translated $k$ units to the left, whereas if $k$ the graph is translated $k$ units to the right.

In your case, $k=-5$, so the graph is translated 5 units to the right.