Question

What is the vertex of `y=-2x^2 - 2x -4`?

Answer 1

`(-1/2,7/2)`

Explanation:

First extract the common factor and then convert to vertex form by completing the square.
`y = -2(x^2 +x +2)`
`y=-2((x+1/2)^2 -1/4+2)`
`y = -2(x+1/2)^2 +7/2`
The vertex is `(-1/2,7/2)`