What is the vertex of the graph of y = -x²?

Solution:

Given

The given curve y = -x²

Change it as x² = -y

The equation shows a downward parabola:

x² = -4cy with the vertex at origin (0, 0) & the focus at (x = 0,y = -1/4)

As - 4c = -1

4c = 1

c = 1/4

What is the vertex of the graph of y = -x²?

Summary:

The vertex of the graph of y = -x² is at origin (0, 0).