Question

How do you find the vertex of a parabola `y=-3/4[x+7]^2-1`?

Answer 1

The vertex is at `color(red)((1,2)`.

Explanation:

`y = -3/4(x+7)^2-1`

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 = -7` and `k = -1`.

The vertex is at (`-7,-1`).