Hyperbola Calculator — Vertices, Foci & Asymptotes
Use this free hyperbola calculator to analyze a hyperbola in standard form. It returns the center, vertices, foci, asymptotes, and eccentricity, with a diagram and steps.
Key parts of a hyperbola
The vertices are a units from the center along the transverse axis; the foci are c = √(a² + b²) units away; the asymptotes have slope ±b/a (horizontal) and eccentricity is e = c/a.
Original price was: $109.99.$54.99Current price is: $54.99.
How to use it
- Choose horizontal or vertical.
- Enter the center and a, b.
- Press Analyze.
Related: the Ellipse Calculator and more free math calculators.
Frequently asked questions
What is the transverse axis?
The axis that passes through the two vertices and foci; a is its semi-length.
Original price was: $109.99.$54.99Current price is: $54.99.
How do I get the asymptotes?
For a horizontal hyperbola they are y = k ± (b/a)(x − h).
Original price was: $109.99.$54.99Current price is: $54.99.
How are the foci found?
c = √(a² + b²); the foci are c units from the center along the transverse axis.
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