Question 689215: How do I write an equation for a parabola whose vertex is (4,1) and passes through the point (2,13)?
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! How do I write an equation for a parabola whose vertex is (4,1) and passes through the point (2,13)?Standard form of equation for a parabola:
(x-h)^2=4p(y-k), (h,k)=(x,y) coordinates of the vertex
plug in given coordinates of the vertex(4,1)
(x-4)^2=4p(y-1)
plug in coordinates of given point (2,13)
(2-4)^2=4p(13-1)
4=4p(12)
4p=4/12=1/3
equation of parabola:
(x-4)^2=(y-1)/3
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