Question

the graph of $f(x)=|x| - 5$ is a translation of the graph of the parent function 5 units

Explanation:

For a parent function $g(x) = |x|$, a transformation of the form $f(x) = g(x) - k$ (where $k>0$) shifts the graph of $g(x)$ downward by $k$ units. Here, $k=5$, so the graph moves 5 units down.

Answer:

down