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 $g(x)=2f(\frac{1}{2}x)$ by first stretching the curve horizontally by a factor of 2, then stretching the curve vertically by a factor of 2 (shown as the new red curve in the figure).