Conics also appear in art, architecture and engineering.Wonderful examples can be see at the website: the Math Forum site: Conics have been defined several ways.The minor axis is perpendicular to the major axis and their intersection point is the center.
Occasionally well be using conics that have been shifted.
One set of definitions involves a set of points in a plane and the distance(s) of these points to points and/or lines.
Circle: the set of points in a plane that are equidistant (the radius r) from a given point (the center This is the equation of the parabola opening to the right with vertex at the origin.
This is the standard form of a parabola with vertex at the origin, opening to the right.
It also locates the focus and the directrix of a parabola.