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 $g(x)=2f(x+2)+1$ by first shifting the original horizontally 2 units to the left, then stretching the result vertically two times, and finally shifting it up 1 unit (shown as the new red curve in the figure).