- Subject:
- Higher Education, Mathematics, Geometry, Astronomy
- Material Type:
- Module
- Provider:
- Ohio Open Ed Collaborative
- Tags:

- License:
- Creative Commons Attribution-NonCommercial 4.0
- Language:
- English
- Media Formats:
- Downloadable docs, Text/HTML

# Chapter 7.5 - Exercises

# Khan Academy - Hyperbolas

# Hyperbolas

## Module Overview

Hyperbola - conic section, foci, transverse and conjugate axes, vertices, asymptotes, standard form

**TMM 002 PRECALCULUS (Revised March 21, 2017)**

**AdditionalOptional Learning Outcomes:**

2. **Geometry**: The successful Precalculus student can:

**2f**. Represent conic sections algebraically via equations of two variables and graphically by drawing curves.

Sample Tasks:

- The student can perform the process “completing the square” transforming the equation into a standard form.
- The student can draw curves representing conic sections.
- The student can solve systems of equations involving linear and quadratic functions.
- The student can parametrize conic curves.

# Section 1: Hyperbola

We will learn about hyperbolas in this module.

**Learning Objectives:**

- Definition
- Transverse Axis, Foci, Asymptotes, Vertices, Reference Rectangle, Conjugate Axis
- Standard equation of vertical and horizontal hyperbolas, Transverse Axis, Foci, Asymptotes, Vertices, Reference Rectangle, Conjugate Axis
- Eccentricity
- Graph