This series of hyperbola covers the standard and general equation of a hyperbola centered at the origin or (h,k), and how to graph and well as write the equation, given the graph. Vertices and equations of asymptotes are also covered.
Hyperbolas Part 1 (graph hyperbola centered at origin): http://youtu.be/jwf3P-ktcc4
Hyperbolas Part 2 (graph hyperbola centered at origin): http://youtu.be/K3xbchq-oMw
Hyperbolas Part 3 (write equation of hyperbola with center (0,0) by looking at graph): http://youtu.be/1oVUC5p6kjQ
Hyperbolas Part 4 (graph hyperbola centered at (h,k)): http://youtu.be/hweZ7ZYhpu4
Hyperbolas Part 5 (graph hyperbola centered at (h,k)): http://youtu.be/nHGCnFPtwKU
Hyperbolas Part 6: Shows how to take a hyperbola written in general form and complete the square to write it in standard form, and then graph it.: http://youtu.be/TbSRtGktUfo