Conic Graphs — Polar & Rectangular

Explore ellipses · parabolas · hyperbolas through eccentricity and directrix

by Claude  ·  cantlinmath.com
Eccentricity  ec 0.60 Ellipse
0.05ellipse1.00hyperbola2.80
Directrix orientation
Directrix value  d 3.0
123456
Rectangular ( x-y )
conic
focus
directrix
Polar ( r-θ )
conic
pole / focus
directrix
Focus is at the origin / pole. The directrix is the line x = d, located away from the focus on the side opposite the nearest vertex.  |  ec < 1 → ellipse   ec = 1 → parabola   ec > 1 → hyperbola