SOLUTION: Write the standard form of the equation of the parabola that has a vertex at (9,7) and passes through the point (3,8)

Question 502204: Write the standard form of the equation of the parabola that has a vertex at (9,7) and passes through the point (3,8)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Write the standard form of the equation of the parabola that has a vertex at (9,7) and passes through the point (3,8)
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Standard form of equation for a parabola: y=A(x-h)^2+k, (h,k) being the (x,y) coordinates of the vertex.
For given equation:
y=A(x-9)^2+7
solving for A using coordinates of given point (3, 8)
8=A(3-9)^2+7
8=A(-6)^2+7
8=36A+7
36A=1
A=1/36
Equation:
y=(1/36)(x-9)^2+7
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