Subject:
Higher Education, Mathematics, Geometry, Astronomy
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Tags:
Asymptote, Center, Conic Section, Conjugate Axis, Focal Point, Foci, Focus, Guide Rectangle, Horizontal Hyperbola, Hyperbola, Mathematics, Standard Equation, Tmm0022, Transverse Axis, Vertical Hyperbola
License:
Creative Commons Attribution-NonCommercial 4.0
Language:
English
Media Formats:
Downloadable docs, Text/HTML

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