1. The original function given is $f(x) = |x|$. 2. The transformed function is $g(x) = |x - 5|$. 3. This transformation involves replacing $x$ with $x - 5$ inside the absolute value function. 4. In general, replacing $x$ with $x - h$ in a function $f(x)$ shifts the graph horizontally. 5. Specifically, $f(x - h)$ corresponds to a translation of the graph of $f(x)$ to the right by $h$ units if $h > 0$. 6. Since $h = 5$ here, the graph of $f(x) = |x|$ is shifted right by 5 units to obtain $g(x) = |x - 5|$. 7. Therefore, the correct description is a translation right 5 units.