Answer
$y=|x|+13$
Work Step by Step
The graph of $y=|x|+k$, where $k$ is a positive number, translates the graph $y=|x|$ up $k$ units.
When we substitute $13$ for $k$, the equation represents $y=|x|$, translated $13$ units up.
This gives us the equation $y=|x|+13$.