Answer
See graph.
Work Step by Step
Start from the graph of $y=\sqrt x$ (red), as $h(x)=\sqrt {9x}=3\sqrt x$, stretch vertically by a factor of $3$ to obtain $h(x)=\sqrt {9x}$ (purple).
Another way is to start from the graph of $y=\sqrt x$ (red), shrink horizontally by a factor of $9$ to obtain $h(x)=\sqrt {9x}$ (purple).