Question

Please help 8points

What is the vertex form of the equation? y = – x^ 2 + 12 x – 4
show your work.

Answer 1

(6,32)

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