Answer:
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
