SOLUTION: find the equation of the parabola with a vertex of (5,4) and passing through the point (4,2)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: find the equation of the parabola with a vertex of (5,4) and passing through the point (4,2)      Log On


   

Question 1024546: find the equation of the parabola with a vertex of (5,4) and passing through the point (4,2)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the vertex form,
y=a%28x-h%29%5E2%2Bk
y=a%28x-5%29%5E2%2B4
Use the point to find a,
2=a%284-5%29%5E2%2B4
2=a%2B4
a=-2
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y=-2%28x-5%29%5E2%2B4
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