Families of Parabolas

Topic:
Functions
This demonstration illustrates how the graph of a quadratic function in the form changes as the parameters a, h, and k change.
How does the graph change as a changes? If a>1, compare the new graph to the graph when a = 1. If 0<a<1, compare the new graph to the graph when a = 1. How does the graph change as h changes? If h > 0, describe the change in the graph. If h < 0, describe the change in the graph. How does the graph change as k changes?