Answer
See the picture below.
Work Step by Step
The parent function is $f(x)=\sqrt x$ (with red), but the graph of $g(x)=\sqrt{9x}$ which is equivalent to $g(x)=3\sqrt x$ (with blue) will be wider, as the coefficient multplies each y-value by 3.
For drawing the exact graph of the parent function here is a table of values:
$f(0)=\sqrt{ 0}=0$
$f(1)=\sqrt{1}=1$
$f(2)=\sqrt{2}$
$f(3)=\sqrt{3}$
$f(4)=\sqrt{4}=2$
By the use of graph transformation techniques, the graph is vertically stretched by a factor of $3$, as the coefficient is greater than 1.
For drawing the exact graph of $g(x)$ here is the table of values of the given function:
$g(0)=\sqrt{9\times 0}=0$
$g(\frac{1}{9})=\sqrt{9\times \frac{1}{9}}=\sqrt1=1$
$g(\frac{1}{3})=\sqrt{9\times \frac{1}{3}}=\sqrt3$
$g(1)=\sqrt{9\times 1}=3$
$g(2)=\sqrt{9\times 2}=\sqrt{18}$
