Question

How do you write `f(x) = -3x^2 + 3x - 2` in vertex form?

Answer 1

f(x) = -3(x - 1/2)^2 - 5/4

Explanation:

First find the coordinate of the vertex>
x-coordinate of vertex:
`x = -b/(2a) = -3/-6 = 1/2`
y-coordinate of vertex:
`y(1/2) = -3(1/4) + 3(1/2) - 2 = -3/4 + 3/2 - 2 = -5/4`
Vertex form of y:
`f(x) = -3(x - 1/2)^2 - 5/4`