In Hyperbolas, Dr. Eaton begins with definitions of two branches and foci before moving into properties which include the transverse axis, conjugate axis, vertices, length of transverse axis, distance between foci, and length of conjugate axis. She then moves into standard form with vertex locations and known points before speaking about asymptotes and how to graph them. Dr. Eaton ends the lesson with equations with centers at (h, k) and four examples.
Understand the concepts of vertices, transverse axis, and conjugate axis.
Understand the role of the asymptotes in graphing a hyperbola. Know their equations.
Understand the fundamental equation c2 = a2 + b2.
Use symmetry to help you graph a hyperbola.
Understand the standard formula for the equation of a hyperbola.
Know how to put an equation in standard form by completing the square.
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.