Stage 30 · Analytic Geometry

30.6.2 The Standard Equation of a Hyperbola

30.6 The Hyperbola: The Path of a Constant Difference

Point 2 of 5

30.6.2 The Standard Equation of a Hyperbola

Core idea

Set upright it reads x²/a²−y²/b²=1, and that one-positive, one-negative minus sign is its signature.

Module goal. Introduce the hyperbola from the constant difference of distances to two fixed points, and master its standard equation, asymptotes, and eccentricity.
eastmath.com · 30.6 The Hyperbola: The Path of a Constant Difference · 30.6.2 The Standard Equation of a Hyperbola