Hyperbola Calculator | Calculate Hyperbola Properties Online

Hyperbola Calculator

Calculate hyperbola properties, asymptotes, foci, vertices, and eccentricity

Input Parameters

Note: Ensure that the input values form a valid hyperbola equation. For horizontal hyperbolas, a² should be positive in the denominator of x² term.

Calculation Results

Hyperbola Equation
(x²/25) – (y²/9) = 1
Center
(0, 0)
Vertices
(5, 0) and (-5, 0)
Foci
(5.831, 0) and (-5.831, 0)
Asymptotes
y = ±(3/5)x
Eccentricity
1.166

Hyperbola Graph

Understanding Hyperbolas: A Comprehensive Guide

A hyperbola is a type of conic section that can be defined as the set of all points in a plane where the difference of the distances to two fixed points (foci) is constant. Hyperbolas have many applications in physics, engineering, astronomy, and navigation systems.

Our hyperbola calculator helps you quickly determine key properties of a hyperbola including its equation, vertices, foci, asymptotes, and eccentricity. Whether you’re working with a horizontal or vertical hyperbola, this tool provides accurate results for both standard and general form equations.

For students studying conic sections or professionals working with hyperbolic functions in real-world applications, this calculator simplifies complex calculations and provides visual understanding of hyperbola geometry.