Question

Help please loves. This one I"m not sure about.

Answer 1

Y=-x^2-2

dy/dx=-2x and d2y/dx2=-2

Since acceleration is a negative constant, when the velocity equals zero, it will be an absolute maximum for y(x)

dy/dx=0 when -2x=0, x=0

y(0)=-2

So the vertex is at the absolute maximum, which is the point (0,-2)