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Math Help - Parabola exercise.

  1. #1
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    Parabola exercise.

    Currently working on a assignment with the graph to be plotted

    R = 1500p-50p^2(squared)

    it should be a Parabola with a positive U shape, but using the Parabola equation it is a slight curve from -5000 moving along to positive 5200 ect(looking more like a Expediential curve)

    using the variable of X in table -4 -3 -2 -1 - 1 2 3 4 to find plot points and begin my curve. It should be all positive straight up and it produces negative every time.

    I had completed the work book 100 percent and the questions, I am struggling due to the fact I can't find anything remotely close to relate as all examples in the book have a Y value
    Last edited by mr fantastic; January 29th 2011 at 01:13 PM. Reason: Title.
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  2. #2
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    Quote Originally Posted by fosky View Post
    using the variable of X in table -4 -3 -2 -1 0 1 2 3 4 to find plot points and begin my curve. It should be all positive straight up and it produces negative every time.
    i think i have found correct method after hours of work realisng i need to start at 0 and not negative?
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  3. #3
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    Quote Originally Posted by fosky View Post
    Currently working on a assignment with the graph to be plotted

    R = 1500p-50p^2(squared)

    it should be a Parabola with a positive U shape, but using the Parabola equation it is a slight curve from -5000 moving along to positive 5200 ect(looking more like a Expediential curve)

    using the variable of X in table -4 -3 -2 -1 - 1 2 3 4 to find plot points and begin my curve. It should be all positive straight up and it produces negative every time.

    I had completed the work book 100 percent and the questions, I am struggling due to the fact I can't find anything remotely close to relate as all examples in the book have a Y value
    since the coefficient of the quadratic term is negative, this parabola will open down instead of up.
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  4. #4
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    Quote Originally Posted by fosky View Post
    i think i have found correct method after hours of work realisng i need to start at 0 and not negative?
    set the quadratic equal to 0 to locate the zeros ...

    1500p-50p^2 = 0

    factor ...

    50p(30 - p) = 0

    the graph has zeros at p = 0 and p = 30

    the vertex of the parabola is midway between the zeros, at p = 15

    R(15) = 50(15)(30-15) = 11250

    the vertex is located at (15,11250)
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