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Cutting the Parabola

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Cutting the Parabola

A parabola's equation is given by 2ny = x2 - 6x + m.  Segment AB is a horizontal line segment whose endpoints lie on the parabola, and which contains the point (0,14). The segment has length 24. If the parabola also contains the point (0,
), find the complete equation of the parabola.

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Problem by Mr. Twitchell


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