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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