Answer
The graph is shown below.
Work Step by Step
The equation $y=x^2$ is an upward parabola with the vertex point (0,0), and the equation $y=-x^2$ is a downward parabola with the vertex point (0,0).
Therefore, as the absolute value function y=|x| opens upwards and lies in quadrants I and II, the absolute value function y=-|x| open downwards and lies in quadrants III and IV.