How to describe the graph of y=-x^2 and compare it with the graph of y=x^2

Answer 1

y=-x^2 is a downward opening parabola with vertex at the origin, (0,0) its x and y intercepts are also the origin. the vertex is the absolute and relative minimum point. As x approaches infinity or negative infinity, y approaches infinity. There is no absolute or relative maximum

y=x^2 is an upward opening parabola with the same vertex and intercepts. the vertex is the absolute and relative maximum. As x approaches infinity or negative infinity, y approaches negative infinity. There is no absolute or relative minimum.

Each graph is a reflection of the other over the x axis.

Take either graph and rotate it 180 degrees (clockwise or counterclockwise) about the origin, and you get the other graph