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