Question 13406
The "standard" form you need for this problem is:

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

You can get your equation into this form by "completing the square".
Starting with your equation, factor a (-6), then complete the square in the x-terms:

{{{y = -6x^2 - 6x}}} Factor -6
{{{y = -6(x^2 + x)}}} Complete the square in x by adding the square of half the x-term (1/2)^2 = 1/4 but don't forget that this is multiplied by -6 so you must add -6(1/4)= -3/2 to the other side as well.
{{{y - 3/2 = -6(x^2 + x + (1/4))}}}Factor the parentheses and add 3/2 to both sides.
 {{{y = -6(x + (1/2))^2 + (3/2)}}} Now compare this with the "standard" form:
{{{y = a(x - h)^2 + k}}} and you can see that:

a = -6,  h = -(1/2), and k = 3/2

So, to finish the solution to your problem:

{{{a*h*k = (-6)(-1/2)(3/2)}}} = 9/2 = 4.5