Describing Transformations of Absolute Value Functions

We are asked to translate the graph of $y=|x|$ down $5$ units. Recall that, when translating absolute value functions, vertical translations occur outside the absolute value symbol. Let's consider a general equation, where ${\color{#0000FF}{a}}$ is a real number. $\begin{aligned} y=|x|+{\color{#0000FF}{a}} \end{aligned}$ The graph of the above equation is a vertical translation up ${\color{#0000FF}{a}}$ units of the graph of $y=|x|.$ In our case, since the translation is performed down, the value of ${\color{#0000FF}{a}}$ is ${\color{#0000FF}{\text{-} 5}}.$ $\begin{aligned} y = |x|-5 \end{aligned}$