Question

What is the vertex form of `y=(-x-2)(x+5)`?

Answer 1

`y=-(x+7/2)^2+9/4`

Explanation:

`y=-x^2-5x-2x-10`
`y=-x^2-7x-10`
To make it look more 'pretty': `y=-(x^2+7x+10)`
Now we need to make it into Vertex Form!
`y=-(x+7/2)^2+9/4`
Let's check by solving it.
`y=-(x+7/2)^2+9/4` =
`-(x^2+7x+49/4)+9/4` =
`-x^2-7x-49/4+9/4` =
`-x^2-7x-10`
That gets us back to our question. Therefore, we are correct!

YAY!