Answer:
(6,32)
Step-by-step explanation:
The easier way to find the vertex is writing the equation as follow :
[tex]y = a(x-h)^{2} + k[/tex]
where (h,k) is the vertex
your equation is in the form of :
[tex]y=ax^{2} +bx +c[/tex]
The easier way is to complete squares:
[tex]y = -(x^{2}-12x)-4 \\y = -(x^{2}-2(6x))-4 \\y = -(x^{2}-2(6x)+36-36)-4 \\y = -(x-6)^2+32 \\[/tex]
So the vertex is (6,32
