How does the graph of $y=a(x-h)^2+k$ change if the value of $h$ is doubled?
A. The vertex of the graph moves to a point twice as far from the $x$-axis.
B. The vertex of the graph moves to a point twice as far from the $y$-axis.
C. The vertex of the graph moves to a point half as far from the $x$-axis.
D. The vertex of the graph moves to a point half as far from the $y$-axis.