Exploring Hyperbolas: Connecting Equations, Graphs, and Geometry

Instructional Prompts for Students[br][list][*]Toggle between [b]Horizontal[/b] and [b]Vertical[/b]. What changes in the equation? What changes in the graph?[br][/*][*]Turn on [b]Asymptotes[/b]. How do they predict the direction of the branches?[br][/*][*]Move the center (h,k). How do the asymptotes and the curve shift?[br][/*][*]Turn on [b]Foci[/b]. Can you verify that the distance difference to the foci is constant?[br][/*][*]Compare a [b]Rectangular hyperbola[/b] (a=b) to a general one. What makes it unique?[br][/*][*]Try a [b]Rotated hyperbola[/b]. How does the angle t affect both the curve and its asymptotes?[br][/*][/list]
Hyperbola Explorer

Informazioa: Exploring Hyperbolas: Connecting Equations, Graphs, and Geometry