Answer
See the picture below.
Work Step by Step
The parent function is $y=\sqrt x$ (with red), but the graph of $g(x)=\sqrt{4x}$ which is equivalent to $g(x)=2\sqrt x$ (with blue) will be wider, as the coefficient multplies each y-value by 2.
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 stretched by a factor of $2$, 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:
$f(0)=\sqrt{4\times 0}=0$
$f(0.25)=\sqrt{4\times 0.25}=\sqrt1=1$
$f(0.5)=\sqrt{4\times 0.5}=\sqrt2$
$f(1)=\sqrt{4\times 1}=\sqrt4=2$
$f(2)=\sqrt{4\times 2}=\sqrt8$
