Question

What is the vertex form of `y= -x^2 + 14x + 12`?

Answer 1

`y = -(x - 7)^2 + 61`

Explanation:

`y = -x^2 + 14x + 12`
x-coordinate of vertex:
`x = -b/(2a) = -14/-2 = 7`
y-coordinate of vertex:
`y(7) = -49 + 98 + 12 = 49 + 12 = 61`
Vertex form:
`y = -(x - 7)^2 + 61`