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A conic section is the intersection of a plane and a double cone.
The circle is a intersection of a plane that is perpendicular to the cones.
A circle is not a function because of the vertical line test.
Ellipse is formed when a plane intersects the double cone almost perpendicularly.
A parabola is the set of all points equidistant from a fixed line, the directrix.
A parabola is made up of a directrix, a focus, an axis, and a vertex.
If eccentricity is close to 0, then the ellipse is almost circular.
Equation of a circle: (x-h)2+(y-k)2=r2
Equation of a parabola: y=x2
Equation of an ellipse: (x-h)2/a2+(y-k)2/b2=1