Exploring the Hyperbola

The graph has been constructed using sliders for the parameters. Drag the point both left and right to explore how each parameter transforms the graph. After exploring each parameter, answer the following two questions.[br][br]1) How does changing each parameter transform the graphical representation of the hyperbola?[br][br]2) Why does changing each parameter transform the graphical representation of the hyperbola in the manner that it does?

Information: Exploring the Hyperbola