Question

How do you write `y = x^2 + 2x + 4` in vertex form?

Answer 1

Vertex form equation is `y=(x+1)^2 +3`

Explanation:

`y = x^2 +2x+4 = x^2 +2x+1 +3` or

`y=(x+1)^2 +3` , comparing with standard vertex form equation

`y=a(x-h)^2+k ; (h,k)` being vertex , we get here

`a=1 , h = -1 ,k=3 :.` Vertex is at `(-1,3)` and

the vertex form equation is `y=(x+1)^2 +3`

graph{x^2+2x+4 [-12.66, 12.65, -6.33, 6.33]} [Ans]