The equation -2x^2-12x=12 is rewritten in the form of -2(x − p)^2+q=0 . What is the value of q? Show all work that leads to your answer.

Answer 1

-2(x^2+6x)= 12 Now complete the square

-2( x+3)^2 + 18 = 12. You have to add 18 to the left side because when you converted it to a square you added-18 so you have to put a +18 in so as not to change the value of the expression

so -2(x+3)^2 +6= 0

So q= 6