Question

What is the vertex form of `y=-2x^2+2x-13`?

Answer 1

y = -`2(x - 1/2)^2 - 25/2`

Explanation:

x-coordinate of vertex:
`x = -b/(2a) = -2/-4 = 1/2`
y-coordinate of vertex:
`y(1/2) = - 2(1/4) + 2(1/2) - 13 = -1/2 + 1 - 13 = 1/2 - 13 = 25/2`
Vertex form:
`y = -2(x - 1/2)^2 - 25/2`