Question

How do you write `y=3-2x-x^2` in vertex form?

Answer 1

Equation in vertex form is `y=-(x+1)^2+4`

Explanation:

`y= -x^2-2x+3 = -x^2-2x-1+1+3`

`= -(x^2+2x+1)+4= -(x+1)^2+4` .

Comparing with vertex form of equation `y= a(x-h)^2+k ; (h,k)` being vertex . Here `h=-1 , k=4`

So vertex is at `(-1,4)`
Equation in vertex form is `y=-(x+1)^2+4`
graph{-x^2-2x+3 [-10, 10, -5, 5]} [Ans]