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 $g(x)=-f(x+1)-1$ by first shifting the curve horizontally 1 unit to the left, reflecting the result around the x-axis, then shifting the curve vertically 1 unit down (shown as the new red curve in the figure).