Exploring Vertical Hyperbolas

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?