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Math Help - X and Y-axis in sketching

  1. #1
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    X and Y-axis in sketching

    how do you know the x and y axis for the maximum point in sketching?


    for example, y=-3x^2 + 5x -7

    i completed the square and got -3(x-5/6)^2 + 109/12

    so, i know the graph touches the y inetcept at -7, but is the x-axis of the turning point 5/6 or 3 x 5/6? and for the Y, how do you find it? i thought it was 109/12, but when i tried it online the graph looked different ( attached the online graph).
    Attached Thumbnails Attached Thumbnails X and Y-axis in sketching-graph_20121128_223503.png  
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  2. #2
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    Re: X and Y-axis in sketching

    I'm not quite sure what you are asking. This is a downward facing parabola as you know. Did you want the y value for the vertex? y(5/6) = -3(5/6)^2 + 5(5/6) -7 = \frac{-59}{12}. So that the maximum occurs at (x,y)=(5/6, -59/12)
    Last edited by Scopur; November 28th 2012 at 08:28 PM.
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