Question

Does anyone know how to do this?

Answer 1

Answer: Choice B) y = (x+4)^2 - 1

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Reasoning:

The vertex is (h,k) = (-4,-1) so h = -4 and k = -1

In each answer choice, a = 1. 

Plug a = 1, h = -4 and k = -1 into the equation below and simplify

y = a(x-h)^2 + k
y = 1(x-(-4))^2 + (-1)
y = (x+4)^2 - 1