The general equation is y-k=a(x-h)² where (h,k) is the vertex.
So in this case we have y+12=a(x+6)².
Plug in x=0, y=-24: -12=36a, and a=-⅓. Therefore y+12=-⅓(x+6)².
Standard form is ax + by = c.
To change y+2 = 3(x-2) into that form, do:
y+2-2 = 3x -6 -2
-3x + y = -8
Which is not in the list, so none of the answers are right...
The answer is 2 √2.
The problem can be simplified by changing the square roots to look like this:
√(8y/y)
Simplify within the square root and you get this:
√8
Factor √8:
√4 √2
Simplify √4:
2 √2
