Question

Collection of the point in a plane equidistant from a fixed point.

Answer 1

A parabola is the set of all points in a plane equidistant from a point fixed F (the focus) and a fixed line l (the directrix) that lie in the plane. ... The vertex and focus are points; the directrix and axis are lines. The distance from the vertex to the focus and from the vertex to the directrix is p units.

Answer 2

Answer:

A parabola is the set of all points in a plane equidistant from a fixed point F (the focus) and a fixed line l (the directrix) that lie in the plane.

Step-by-step explanation:

The axis of the parabola is the line through F that is perpendicular to the directrix.

The vertex of the parabola is the point V on the axis halfway from F to l.  The vertex is the point on the parabola that is closest to the directrix.

The vertex and focus are points; the directrix and axis are lines.

The distance from the vertex to the focus and from the vertex to the directrix is p units.

The distance from the focus to the directrix is 2p units.

If the parabola has a vertical axis and its vertex is at (0, 0), its formula is:  

If the parabola has a horizontal axis and its vertex is at (0, 0), its formula is: