You can put this solution on YOUR website! y = -x^2 + 8x - 3
use x = -b/(2a) to find x at the vertex.
plug this value back into the equation to find y at the vertex.
x = -b/(2a)
x = -8/(2*-1)
x = 4
now plug 4 back in: y = -(4)^2 + 8(4) - 3
Vertex is at (4, 13)