Answer
See graph and explanations.
Work Step by Step
Step 1. Graph the function $f(x)=\sqrt x$ shown as the blue curve in the figure.
Step 2. To obtain the curve of function $g(x)=\frac{1}{2}\sqrt {x +2}$, first shift the original curve horizontally 2 units to the left, then shrink the result vertically by a factor of 2, shown as the red curve.