Circle
a curve formed by the intersection of a horizontal plane, parallel to the x-axis, and a cone
Ellipse
a bounded curve formed by the intersection of a cone and a tilted plane
Parabola
an unbounded curve formed by the intersection of a cone and a tilted plane
Hyperbola
a curve formed by the intersection of a vertical plane and a double-napped cone
Point
formed when the plane intersects the double-napped cone at its center
Straight Line
formed when a tilted plane collides with the edge of the double napped cone
Intersecting Lines
formed when a vertical plane intersects the middle of the double-napped cone
Circle
a locus of points that is equidistant to its center— it has a fixed radius.
(h, p+k)
Foci on x
(h + p, k)
Foci on y