SOLUTION: Find the equation of a parabola that opens to the right, has vertex (0,3) and goes through the point (2,-1).

Question 629079: Find the equation of a parabola that opens to the right, has vertex (0,3) and goes through the point (2,-1).
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the equation of a parabola that opens to the right, has vertex (0,3) and goes through the point (2,-1)
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Standard form of parabola that opens to the right: (y-k)^2=4p(x-h), (h,k)=(x,y) coordinates of the vertex.
..
Equation:
(y-3)^2=4px
solve for p using coordinates of given point (2,-1)
(-1-3)^2=4p*2
16=8p
p=2
4p=8
Equation of given parabola: (y-3)^2=8x
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