# algebra

Suppose a parabola has vertex (-4,7) and also passes through the point (-3,8), write the equation of the parabola in vertex form.

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1. you know it must look like this

y = a(x+4)^2 + 7
now force it to pass through (-3,8)
8 = a(-3+4)^2 + 7
1 = a

y = (x+4)^2 + 7

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