Question

Please help 8points

Answer 1

Answer:

(6,32)

Step-by-step explanation:

The easier way to find the vertex is writing the equation as follow :

$y = a(x-h)^{2} + k$

where (h,k) is the vertex

your equation is in the form of :

$y=ax^{2} +bx +c$

The easier way is to complete squares:

$y = -(x^{2}-12x)-4 \\y = -(x^{2}-2(6x))-4 \\y = -(x^{2}-2(6x)+36-36)-4 \\y = -(x-6)^2+32$

So the vertex is (6,32