Question

convert between standard & vertex form y=-2x^2-24x-79

Answer 1

Are you familiar with the process of completing the square?

Answer 2

yes

Answer 3

So lets do that here:
\[y = -2(x^2 + 12x +0 ) - 79\]\[y = -2(x^2 + 12x + 36 - 36) - 79\]\[y=-2(x^2 + 12x + 36) - 2(-36) - 79\]\[y=-2(x^2 + 12x +36) + 72 - 79\]\[y = -2(x^2 + 12x + 36) -7\]

Answer 4

and (x^2 + 12x + 36) = (x + 6)^2

Answer 5

so whats the answer

Answer 6

What did you get?

Answer 7

6 and 36

Answer 8

6 and 36 is not the vertex form of the function.

Answer 9

Isn't that what you're trying to find? the vertex form?

Answer 10

yes