SOLUTION: Write an equation in standard form of the parabola that has vertex (-4, -8) and passes through the point (7, -371)

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Question 999237: Write an equation in standard form of the parabola that has vertex (-4, -8) and passes through the point (7, -371)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Make your choice; for either vertical symmetry axis or horizontal symmetry axis.

I am choosing vertical axis of symmetry. Think about the two given points, and you understand that coefficient a%3C0, which goes on the leading term.

Standard Form format, y=a%28x-h%29%5E2%2Bk, and (h,k) and another point on the graph are given.

a=%28y-k%29%2F%28x-h%29%5E2
a=%28y-%28-8%29%29%2F%28x-%28-4%29%29%5E2, using vertex given
a=%28-371%2B8%29%2F%287%2B4%29%5E2, when the other included point is used, and partial simplification
a=-363%2F%28121%29
highlight_green%28a=-3%29

One possible equation from that is highlight%28y=-3%28x%2B4%29%5E2-8%29.