I've searched the web for information on Parametric Equations, and most of them only give me information on how to find y = f(x) when given y = y(t) and x = x(t).(adsbygoogle = window.adsbygoogle || []).push({});

Is there any sort of method for doing the reverse? I'm told that there are theoretically an infinite number of parametric equations for a given curve, but how do you go about finding any of them?

One of the questions in our textbook says:

Parametrize the curve y = f(x), x between [a,b].

No further information was given. I think I need to know this in order to do the questions that come afterwards. For example, [tex]y^2=x^3[/tex], from (4,8) to (1,1). The answer ends up being y = (2-t)^3 and x = (2-t)^2. The solution manual gives me no explanations as to how they arrived at that answer.

Help?

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# Homework Help: Finding a parametric equation for y = f(x)

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