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 Non-Commercial
    Language:
    English
    Media Formats:
    Downloadable docs, Text/HTML

    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