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determine the equation for the parabola graphed below.

y = + x +

y = -2x² − 4x + 5

Step-by-step 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

what is the answer to this