Characteristics of a Parabola

Characteristics of a Parabola

Parabolas are conic sections that are obtained at the intersection of a plane with a cone. The plane has to cut the base of the cone in order for the parabola to be formed. The main characteristic of parabolas is that all the points on their curve are located at the...
Focus and Directrix of a Parabola

Focus and Directrix of a Parabola

A parabola is the set of all points in the plane that are equidistant from a fixed point and a straight line. The fixed point is called the focus and the straight line is called the directrix. Here, we will see more detailed definitions for the focus and the...
Parts of a Parabola with Diagrams

Parts of a Parabola with Diagrams

The parabola has the main characteristic that each point on its curve is located at the same distance from a point, called the focus, and a line, called the directrix. Parabolas are conic sections formed when a cone is cut by a plane parallel to one of the sides of...
Vertex of a Parabola – Examples and Practice Problems

Vertex of a Parabola – Examples and Practice Problems

The vertex of a parabola is the highest point or the lowest point, also known as the maximum or minimum of the parabola. The vertex is the point of intersection of the parabola and its line of symmetry. The vertex can be found in different ways depending on whether...
Equation of a Parabola with Examples

Equation of a Parabola with Examples

Parabolas are defined as conic sections that are formed by cutting a cone with a plane that is parallel to one lateral side of the cone. Parabolas are formed by the set of all points that are equidistant with respect to a line, called the directrix, and to a point,...
Equation of a Parabola with Vertex at the Origin

Equation of a Parabola with Vertex at the Origin

A parabola is a conic section formed when a circular cone is cut by a plane. For the parabola to be formed, the plane that intersects the cone must be parallel to one lateral side of the cone. A parabola is defined by the set of all points (x, y) that are located at...