Question

What is the vertex form of `y = −25x^2 − 4x+3`?

Answer 1

`y = -25(x+2/25)^2 - 129/625`

Explanation:

The equation needs to be rewritten into the form `y = a(x-h)^2 +k`, where `(h,k)` is the vertex.

`y=-25(x^2 +4/25x -3/25)`

`y = -25(x+2/25)^2 -4/625 -3/25`

`y = -25(x+2/25)^2 - 129/625`

The vertex is `(-2/25,-129/625)`