Answer
When $h<0$, the vertex of the parabola is on the left side of the $y-$ axis.
When $h>0$, the vertex of the parabola is on the right side of the $y-$ axis.
Work Step by Step
For a parabola with the function $y = (x-h)^2$, the vertex lies at $(h,0)$.
If $h$ is positive, the parabola is shifted to the right by $h$ units and, if $h$ is negative, the parabola is shifted to the left by $h$ units.