Given functions are
[tex] f(x) = \sqrt x , g(x) = \sqrt{0.5 x} [/tex]
g(x) can also be written as
[tex] g(x) = \sqrt{ \frac{1}{2} x} [/tex]
And because of 1/2 inside the function with x, there is a vertical compression by 1/2 units .
And that's the required transformation .