Question 638645: Write the equation for the parabola that goes through the point (9,3) and has a vertex of (6,-5).
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Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Write the equation for the parabola that goes through the point (9,3) and has a vertex of (6,-5).
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Standard form of equation for a parabola: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of the vertex.
For given parabola:
using given point and coordinates of vertex:
equation: 3=A(9-6)^2-5
3=9A-5
9A=8
A=8/9
Equation of given parabola:
y=(8/9)(x-6)^2-5
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