In
mathematics,
parametric equations are a method of defining a function using
parameters. A simple
kinematical example is when one uses a time parameter to determine the
position,
velocity, and other information about a body in motion.
Abstractly, a relation is given in the form of an equation, and it is shown also to be the image of functions from items such as Rn. It is therefore somewhat more accurately defined as a parametric representation. It is part of regular parametric representation.
For example, the simplest equation for a parabola,
can be parametrized by using a free parameter t, and setting