SOLUTION: How do I write the equation for this parabola? It's vertex is (5, -3) and passes through (3, -11) Thank you!

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Question 998813: How do I write the equation for this parabola?
It's vertex is (5, -3) and passes through (3, -11)
Thank you!
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Equation in standard form of a parabola is y=a%28x-h%29%5E2%2Bk having vertex (h,k). You are given the vertex of a parabola and a point (x,y) on the parabola.

Solve the standard form equation for a, and substitute for your given x, y, h, and k. Evaluate a. Then write the specific equation for your parabola using (h,k), and the now found a.

a%28x-h%29%5E2=y-k
a=%28y-k%29%2F%28x-h%29%5E2
a=%28-11-%28-3%29%29%2F%283-5%29%5E2
-8%2F%28-2%29%5E2
a=8%2F4
a=2

RESULT: highlight%28y=2%28x-5%29%5E2-3%29