Question

How do you write `y =-x^2+4x+13` in vertex form?

Answer 1

`y = -x^2 + 4x + 13`
x-coordinate of vertex:
`x = -b/(2a) = -4/-2 = 2`
coordinate of vertex
`y(2) = -4 + 8 + 13 = 17`
Vertex form of y -->
`y = -(x - 2)^2 + 17`