<PRE><B>Question 800849</B>
A parabola has vertex (0,0) and focus on the y axis
a) find the equation of the parabola if it passes through the point (4,12) 
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Plot those points and you will see the parabola opens up.
Form: (x-h)^2 = p(y-k)
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Using the 2 points you get:
(4-0)^2 = p(12-0)
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16 = 12p
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p = 4/3
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Equation: x^2 = (4/3)y
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y = (3/4)x^2
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Cheers,
Stan H.
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