Answer
See graph and explanations.
Work Step by Step
Using the graph in the exercise, given the curve of $y=f(x)$, we can obtain the new curve of $g(x)=\frac{1}{2}f(2x)$ by first compressing the curve horizontally by a factor of 2, then compressing the curve vertically by a factor of 2 (shown as the new red curve in the figure).