Hyperbola

A hyperbola is the set of all points in a plane such that the difference of distances from two fixed points (foci) is constant.

Definition

Standard Equations

Key Elements

Example: Finding Elements

Asymptotes

Relationship Between , , and

Rectangular Hyperbola

Practice Problems

1. Find the foci and eccentricity of .
2. Write the equation of a hyperbola with vertices and foci .
3. Find the asymptotes of .
4. Find the equation of a rectangular hyperbola with foci .