SOLUTION: Equation for the parabola whose vertex is at (5,3) and passes though the point (7,-1). The text doesn't explain how to solve these...

Algebra ->  Equations -> SOLUTION: Equation for the parabola whose vertex is at (5,3) and passes though the point (7,-1). The text doesn't explain how to solve these...      Log On


   

Question 350651: Equation for the parabola whose vertex is at (5,3) and passes though the point (7,-1). The text doesn't explain how to solve these...
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Look up "Vertex form" in the Index.
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Use the vertex form of a parabola, y=a%28x-h%29%5E2%2Bk
y=a%28x-5%29%5E2%2B3
Now use the point (7,-1) to solve for a.
-1=a%287-5%29%5E2%2B3
a%284%29%2B3=-1
I leave it to you to complete the solution for a.
Then plug that into your equation.