- Author:
- Ohio Open Ed Collaborative
- Subject:
- Higher Education, Mathematics, Geometry, Astronomy
- Material Type:
- Module
- Provider:
- Ohio Open Ed Collaborative
- Tags:
- License:
- Creative Commons Attribution Non-Commercial
- Language:
- English
- Media Formats:
- Downloadable docs, Text/HTML
Chapter 7.5 - Hyperbolas
Khan Academy - Hyperbolas
Hyperbolas
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.
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