## Calculus: Early Transcendentals 8th Edition

The vertex, the point where the parabola changes direction, is the origin. We see that the parabola $y = ax^{2}$opens upward if $a>0$ and downward if $a <0$ . Given: $y = -x^{2}$ Here, $a=-1$ This represents the equation of a parabola which has the standard form as follows: $y=a(x-h)^{2} +k$ vertex, $(h,k) =(0,0)$ The graph for $y = -x^{2}$ will be a parabola acting downwards.