Hyperbolas are a bit different in shape than the other conic sections we've learned about. A hyperbola is the set of points in the plane such that the absolute value of the difference of the distances from two fixed points is constant. The two points are the foci of the hyperbola. A hyperbola has two axes of symmetry, called the transverse axis and the conjugate axis, which intersect, at the center of the hyperbola. The transverse axis intersects the vertices of the hyperbola. In this lecture you'll learn about the standard form of the hyperbola and how to put an equation in standard form by completing the square.
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.