What is the vertex form of the equation? Show steps

y=-x^2+12x-4

3 answers

x^2+12x + 36=4+36
(x+6)^2=40

y=(x+6)^2-40 is vertex form.
y = -x^2+12x-4
= -(x^2-12x)-4
= -(x^2-12x+36)-4+36
= -(x-6)^2 + 32
y=x^2-12x+38