Use the sliders to discover what h, k, a, and b do to the position and shape of the hyperbola.

Answer these questions.
#1 What does h do to the graph?
#2 What does k do to the graph?
#3 Where is the center located?
#4 How do you know if the hyperbola is horizontal or vertical?
#5 What is the relationship between a and b when is the graph wide?
#6 What is the relationship between a and b when is the graph narrow?
#7 What is the slope of the asymptotes?
#8 What point do the asymptotes always go through?