Question

How do you find the vertex of a parabola `y= -3[x-6]^2-3`?

Answer 1

The vertex is at `color(red)((6,-3)`.

Explanation:

`y = -3(x-6)^2-3`

The vertex form for the equation of a parabola is

`y = a(x-h)^2 + k`, where (`h, k`) is the vertex of the parabola.

By comparing the two equations, we see that `h = 6` and `k = -3`.

The vertex is at (`6,-3`).