A parabola has the equation - 5x2 + 30x - y - 34 = 0. Which equation is that of the parabola in vertex form?

A) y = - 5 (x - 3) 2 + 11

B) y = - 5 (x + 3) 2 - 11

C) y = - 5 (x + 3) 2 + 11

D) y = - 5 (x - 3) 2 - 11

We can complete the square to get a standard form quadratic into vertex form. First, add Y and 34 to the right side of the equation. You'll get - 5x^2 + 30x = y + 34.

Next, you need to factor out a - 5 from the left side, so you'll get - 5 (x^2 - 6x) = y + 34. Then, complete the square on the left. You'll get - 5 (x-3) ^2 = y - 11. Finally, add 11. The answer is y = - 5 (x-3) ^2 + 11