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nordsb [41]
2 years ago
14

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

Mathematics
1 answer:
frozen [14]2 years ago
6 0
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
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