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Math Help - Parabola stuff

  1. #1
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    Parabola stuff

    In a children's play park a ball is kicked so that its flight path can be modelled by the equation h= -ax(x-6) , where h is the height of the ball when it is x metres from the point where it is kicked. If the maximum height of the ball is 2m, what is the value of a?
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  2. #2
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    Re: Parabola stuff

    The vertex of the parabola occurs at x = 3 (do you see why?). So the maximum height occurs at x = 3:

    2m = -a(3)(3-6) = 9a

    a = \frac{2}{9}m
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  3. #3
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    Re: Parabola stuff

    Thx mate
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