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Math Help - Graphs of y=2x^2 + bx + 4 for different values of b

  1. #1
    Senior Member furor celtica's Avatar
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    Graphs of y=2x^2 + bx + 4 for different values of b

    draw the graph of y=2x^2 + bx + 4 for different values of b. How does changing b affect the curve ax^2 +bx + c?
    i drew several graphs and i cant really 'see' anything. ive compared coordinates of turning points etc. but i dont get it. any help?
    Last edited by mr fantastic; March 29th 2010 at 03:14 PM. Reason: Changed post title
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  2. #2
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    You can rewrite the equation as
    y/2 = x^2 + b/2*x + 2
    y/2 = x^2 + 2*b/4*x + (b/4)^2 - (b/4)^2 + 2
    (x + b/2)^2 = 1/2*[y + (b^2/8 - 4)]
    It is the equation of the parabola. Now see how it changes with b.
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