Answer
$y=|x-0.5|$
Work Step by Step
The graph of $y=|x-h|$, where $h$ is a positive number, translates the graph $y=|x|$ to the right $h$ units.
By substituting $0.5$ in for $h$, we can translate the graph $0.5$ units to the right.
This gives us the equation $y=|x-0.5|$.