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Interactive resource

Definition of a parabola

Geometry. Equidistant from a focus and a directrix. Free interactive GeoGebra resource — adjust parameters in the browser.

  • Conics
  • Parabolas
  • High school

Overview

Equidistant from a focus and a directrix.

Explanation

A parabola is points equally far from a focus and a directrix.
With focus (0, p) and directrix y = −p, the equation is x² = 4py (or y = x²/(4p)).
Eccentricity e = 1 (between ellipse and hyperbola).

How to use

Drag P; distance to focus equals distance to the directrix.

Knowledge points

  • Conics
  • Parabolas
  • High school