Question

How do you write `y=-4x^2+12x+5` into vertex form?

Answer 1

`y = - 4(x - 3/2) + 14`

Explanation:

y = - 4x^2 + 12x + 5
x-cordinate of vertex:
`x = - b/(2a) = -12/-8 = 3/2`
y-cordinate of vertex:
`y(3/2) = - 4(9/4) + 12(3/2) + 5 = - 9 + 18 + 5 = 14`
Vertex form
`y = -4(x - 3/2)^2 + 14`