Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.

Determine the equation for the parabola graphed below.



y = ___x^2 +___ x + ___

Answer 1

-2x^2+4+5

Explanation:

Answer 2

y = -2x² − 4x + 5

Explanation:

The vertex is at (-1, 7). Therefore:

y = a (x + 1)² + 7

To find the value of a, we need to plug in another point on the parabola. For example, (0, 5).

5 = a (0 + 1)² + 7

-2 = a

Therefore:

y = -2 (x + 1)² + 7

Converting to standard form:

y = -2 (x² + 2x + 1) + 7

y = -2x² − 4x − 2 + 7

y = -2x² − 4x + 5