How do you find the vertex of a quadratic equation y=x2+9?

1 Answer
Jun 9, 2016

Vertex at: (0,9)

Explanation:

The general explicit vertex form is
XXXy=m(xa)2+b
for a parabola with vertex at (a,b)

The given equation: y=x2+9
can be converted into the explicit vertex form as
XXXy=(1)(x0)2+9
for a parabola with vertex at (0,9)

For verification purposes, here is the graph of the original equation:
graph{-x^2+9 [-12.96, 12.35, -2.49, 10.17]}