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Thread: graphs

  1. #1
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    graphs

    can someone please tell me how to plot graphs such as 2x^2 + 10 or something like that cause to be honest it is one my major weaknessess at maths... lol

    thx
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  2. #2
    Site Founder Math Help's Avatar
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    Graphing equations by hand

    $\displaystyle y=2x^2 + 10$

    step one determine where the equation crosses the y-axis (when x=0)
    $\displaystyle y = 2(0)^2 + 10 $
    $\displaystyle y = 10$

    step two determine where the equation crosses the x-axis (when y=0)
    $\displaystyle 0=2x^2 + 10$
    $\displaystyle -10 = 2x^2$
    $\displaystyle \sqrt{-5} = x$, it does not cross the x-axis

    Step three determine what shape the equation has
    in this case the equation is a parabola that opens upward and is symmetric about the y-axis, therefore its minima is at (0,10)

    Play around with a graphing calculator and see what happens to $\displaystyle y = A(x+B)^2+C$ as A, B and C change.
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