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). 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?