What is a parabola?

A parabola is a curve of the second order corresponding to the equation y in a rectangular coordinate system² = 2px. Let's take a closer look at what a parabola is, and give its strict mathematical definition.

Parabola in a scientific way

The study of the parabola is included in the school coursegeometry, many remember the appearance of this curve, but few can reproduce its scientific definition. This is how it sounds: the parabola is the geometric locus of points that are equidistant from a certain point (focus) and a certain line (directrix).

Properties of a parabola

The axis of symmetry of the parabola is a straight line drawn from its focus and perpendicular to the directrix.
The optical property is the most remarkableproperty of a parabola. If a light source is placed in the focus of the parabola, then the source rays when reflected from the parabola will create a parallel beam. This feature is used in the construction of parabolic antennas.
All parabolas are similar, the distance between the focus and the headmistress determines the scale of the parabola.