Exploring quadratic functions

Set the values of a and b to 1. Change the value of c without changing anything else. What happens with the vertex of the parabola? What happens to the rest of the graph?

Set a to 1 and b and c to 0. Change the value of b around. What happens to the graph? Now set b first to 1 and then to 2. What is special about the roots (x-intercepts)? Try some other values as well.

What happens to the graph when the a value gets bigger than 1? What happens as the a value gets closer to zero? What about when a is negative?

When a=0, something special happens. What kind of function does it turn into? And why?