SOLUTION: write an equation for a parabola with vertex at the point (2,1), symmetric around the line x=2, and passing through the point (3,3)

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Question 943451: write an equation for a parabola with vertex at the point (2,1), symmetric around the line x=2, and passing through the point (3,3)
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Standard Form equation for a parabola, y=a%28x-h%29%5E2%2Bk, the vertex (h,k) and vertical symmetry axis at x=h. The given point included on the parabola can be used for finding the value for the coefficient, a.

a%28x-h%29%5E2=y-k
a=%28y-k%29%2F%28x-h%29%5E2
a=%283-1%29%2F%283-2%29%5E2
a=2%2F1%5E2
a=2

Equation: highlight%28y=2%28x-2%29%5E2%2B1%29