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Answer:

Step-by-step explanation:

(-2,2) lies above the vertex, so the parabola opens upwards.

Vertex-form equation for an up-opening parabola with vertex (-5,-1):

y = a(x+5)² - 1, a>0

Plug in (-2,2) and solve for a:

2 = a(-2+5)² - 1

a = ⅓

Equation of parabola:

y = ⅓(x+5)² - 1

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