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 $g(x)=-\frac{1}{2}f(x+2)-2$ by first shifting the original horizontally 2 units to the left, reflecting the result around the x-axis, then compressing the curve to one half vertically, and finally shifting the result down 2 unit (shown as the new red curve in the figure).
