# How do you find the parametric equation of a parabola?

##### 1 Answer

If we have a parabola defined as

In fact, any function will have this trivial solution.

It is more useful to parameterize relations or implicit equations because once parameterized, they become explicit functions.

For instance a circle can be defined as:

When you try to define the circle explicitly, you get:

When parameterizing a circle, we have:

Both