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Math Help - Plotting specific shapes for graphs.

  1. #1
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    Lightbulb Plotting specific shapes for graphs.

    I'm interested in what shapes you can plot on a graph (cartesian co-ordinates) using an equation (1 line) like y=x......

    I'm want to know if you can plot a cycloid on a graph with an equation....
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  2. #2
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    Re: Plotting specific shapes for graphs.

    A graph of the form y= f(x), where f is a function of f, cannot "turn back" on itself since by definition of "function", we cannot have more than one value of y for any x.

    But the graph of x^2+ y^2= R^2 is a circle. The cycloid can be graphed using parametric equations x=a(t- sin(t)), y= a(1- cos(t)) or by using the single Cartesian equation x=  cos^{-1}(1- y/a)- \sqrt{y(2a- y)}.
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  3. #3
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    Re: Plotting specific shapes for graphs.

    Thanks! Can you tell me what the variable a represents?
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