I am trying to find a general way of finding parametric equations for a rectangular equation. The problem I am working on is $y=x^3$, and I have to find two examples of parametric equations. Obviously, for a first example, $x=t$ and $y=t^3$. But, for a second example, I want $x=t^2+1$ (just for the heck of it), how would I find the corresponding equation for y, in terms of t, so that when I substitute either equation into the other, I get $y=x^3$?