SOLUTION: Your help is appreciated. Convert equation of the parabola y = -6x^2-6x to standard form and then find the product a x h x k. Thank you.

Question 13406: Your help is appreciated.
Convert equation of the parabola y = -6x^2-6x to standard form and then find the product a x h x k.
Thank you.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
The "standard" form you need for this problem is:

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:
Factor -6
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.
Factor the parentheses and add 3/2 to both sides.
Now compare this with the "standard" form:
and you can see that:
a = -6, h = -(1/2), and k = 3/2
So, to finish the solution to your problem:
= 9/2 = 4.5
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