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

1 answer:

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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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Answer below, let me know if it didn't make sense.

Step-by-step explanation:

I attached a picture of the scatterplot with a line connecting the points. There is a definite upside down u type shape, and it doesn't look close to a line at all, so linear is not a good choice.

an upside down u shape (or right side up u shape for that matter) is exactly what a quadratic is, or any polynomial if you do it right, but quadratic is the simplest, so let's go with that.