Question 539563: Find the equation of the parabola whose axis is parallel to the y-axis, with vertex (1,3) and containing the point (5,7)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Find the equation of the parabola whose axis is parallel to the y-axis, with vertex (1,3) and containing the point (5,7).
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Standard form of equation for given parabola: y=A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex.
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y=A(x-h)^2+k
using coordinates of given vertex (1,3)
y=A(x-1)^2+3
using coordinates of given point (5,7)
7=A(5-1)^2+3
7=A(16)+3
16A=4
A=4/16=1/4
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Equation of given parabola: y=(1/4)(x-1)^2+3
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