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Home/Mathematics/Coordinate Geometry/Hyperbola Calculator
Math CalculatorCoordinate Geometry

Hyperbola Calculator

Find the equation of a hyperbola given its center (h, k) and the values of a and b. Calculates standard form equations, asymptotes, and foci.

Updated 2025-01-155 min readCalzyra Math Team

Calculator

Enter your values below

CalculatorFree Tool

x-coordinate of the center

y-coordinate of the center

Length of the semi-transverse axis

Length of the semi-conjugate axis

Formula & Methodology

How this calculator works

(x - h)²/a² - (y - k)²/b² = 1 or (y - k)²/a² - (x - h)²/b² = 1

A hyperbola centered at (h, k) can open horizontally (x-term positive) or vertically (y-term positive). Asymptotes have slopes ±b/a (horizontal) or ±a/b (vertical).

Frequently Asked Questions

Common questions about this calculator

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