Question

How do you complete the square to write in vertex form? `f(x)=-3x^2+4x+2`

Answer 1

Vertex is at `2/3,10/3` and vertex form of equation is
`f(x) = -3(x-2/3)^2 +10/3`

Explanation:

`f(x) = -3x^2+4x+2 or f(x) = -3(x^2-4/3x)+2` or

`f(x) = -3{x^2-4/3x +(2/3)^2} +3*4/9+2` or

`f(x) = -3{x-(2/3)}^2 +10/3`

Vertex is at `2/3,10/3` and vertex form of equation is

`f(x) = -3(x-2/3)^2 +10/3`

graph{-3x^2+4x+2 [-10, 10, -5, 5]}