30.6.4 Asymptotes: Hugging Close but Never Touching
30.6 The Hyperbola: The Path of a Constant Difference
Point 4 of 5
30.6.4 Asymptotes: Hugging Close but Never Touching
Core idea
The farther the curve reaches, the closer it hugs the two slanted lines y=±(b/a)x, like rails it approaches forever without meeting.
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 · 30.6.4 Asymptotes: Hugging Close but Never Touching