Parabola
A parabola is a type of conic section. A parabola is a locus of points that are equidistant from a point (the vertex) and a line (the directrix).
Parabola Equations
There are several "standard" ways to write the equation of a parabola. The first is polynomial form: where a, b, and c are constants. The second is completed square form, or
where a, k, and c are constants. The third way is the conic section form, or
or
where the p is a constant, and is the distance from the focus to the directrix.