Parabola in Maths

A parabola is a U-shaped symmetric curve defined as the set of all points that are equidistant from a fixed point called the focus and a fixed line called the directrix. It is one of the four conic sections and has an eccentricity of exactly 1.

Foundations

Start with the basics to understand what a parabola is and why it is important.

• Conic Sections
• Introduction to Parabola
• Applications of Parabola in Real Life

Parts and Equation of a Parabola

Learn each part clearly to understand how the equation of a parabola is formed.

• Standard Equation of a Parabola
• Vertex of a Parabola
• Focus and Directrix of a Parabola
• Axis of Symmetry of a Parabola
• Latus Rectum
• Focal Chord of a Parabola
• Eccentricity of Parabola
• Eccentricity Formula
• Parabola vs Hyperbola
• Tangents and Normals

Graphing a Parabola

Understand how to draw and interpret a parabola through its key features.

• Graphing Quadratic Functions
• How to Find x and y Intercepts of a Parabola
• How to Find the Turning Point of a Parabola
• How to Find the Vertex of a Quadratic Function

Practice

Test your knowledge by solving questions and quizzes.

• Parabola - MCQs
• Practice Questions

For Programmers

Implement the parabola concepts using code.

• Program for Finding the vertex, focus and directrix of a parabola
• Program to find the length of Latus Rectum of a Parabola
• Satisfy the parabola when points and the equation is given