Question

What is the vertex form of `y=2x^2+12x-12`?

Answer 1

Vertex form of equation is `y= 2(x+3)^2-30`

Explanation:

`y= 2x^2+12x-12 or y= 2(x^2+6x)-12` or

`y= 2(x^2+6x+9)-18-12` or

`y= 2(x+3)^2-30` , comparing with vertex form of

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

`h= -3 .k=-30 :.` Vertex is at `(-3,-30)` and vertex

form of equation is `y= 2(x+3)^2-30` [Ans]