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Hyperbola Calculator

Get the center, vertices, foci, asymptotes, and eccentricity of a horizontal or vertical hyperbola — with a diagram and step-by-step working.

(x − h)²/a² − (y − k)²/b² = 1
center (h ,k) a b

Horizontal: (x−h)²/a² − (y−k)²/b² = 1. Vertical: (y−k)²/a² − (x−h)²/b² = 1. a is the transverse semi-axis.

Results

Center, vertices & foci
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Center
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Vertices
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Foci
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Eccentricity
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Asymptotes
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Diagram

HyperbolaCenter/verticesFoci

Step-by-step