Question

How do you write `f(x) = x^2 + 4x` in vertex form?

Answer 1

The vertex form of equation is `f(x)=(x+2)^2-4`

Explanation:

`f(x)=x^2+4x or f(x)=x^2+4x+4 -4` or

`f(x)=(x+2)^2-4` . Comparing with vertex form of

equation `f(x) = a(x-h)^2+k ; (h,k)` being vertex we find

here `h=-2 , k=-4 , a=1:.` Vertex is at `(-2,-4)`

The vertex form of equation is `f(x)=(x+2)^2-4`

graph{x^2+4x [-10, 10, -5, 5]} [Ans]