Question

Suppose that g(x) = f(x - 5). Which statement best compares the graph of
g(x) with the graph of f(x)?
O A. The graph of g(ahots the graph of f(x) shifted 5 units to the left.
O B. The graph of g(x) is the graph of f(x). shifted 5 units down.
O
C. The graph of g(x) is the graph of f(x) shifted 5 units to the right.
O
D. The graph of g(x) is the graph of f(x) shifted 5 units up.

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 $k<0$ the graph is translated $k$ units to the right.

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