currently, I'm learning how to parametrize basic curves, but I don't understand the Rational Parameterization of a curve.
For example:
$\frac{(x-x_0)^2}{a} + \frac{(y-y_0)^2}{b} = 1$
or
$y-y_o = a\cdot (x-x_0)^2$
Can someone help me to understand the process?