Online Hyperbola Calculator 2025
Analyze and visualize hyperbolas from their standard form equation.
Hyperbola Equation
Interactive Graph
Properties
Center:
Vertices:
Foci:
Eccentricity:
Asymptotes:
Hyperbola FAQ
What is a hyperbola?
A hyperbola is a type of conic section formed by intersecting a double cone with a plane at an angle where both halves of the cone are intersected. It is defined as the set of all points in a plane, the difference of whose distances from two fixed points (the foci) is a constant.
What are the key properties calculated here?
- Center (h, k): The midpoint between the two foci and the two vertices.
- Vertices: The turning points of the two branches of the hyperbola. The distance from the center to a vertex is 'a'.
- Foci: The two fixed points that define the hyperbola. The distance from the center to a focus is 'c', where c² = a² + b².
- Asymptotes: A pair of straight lines that the hyperbola approaches but never touches as it extends to infinity. They intersect at the center.
- Eccentricity (e): A measure of how "curved" the hyperbola is. For any hyperbola, e > 1. It is calculated as e = c/a.