Answer
See graph and explanations.
Work Step by Step
Step 1. Graph the function $f(x)=x^2$, shown as the blue curve in the figure.
Step 2. To obtain the graph of function $r(x)=-(x+1)^2$, shift the original horizontally 1 unit to the left, then reflect the result around the x-axis, shown as the red curve in the figure.