Case 1: Graphing 5 graphs at once.

Let's look at the graphs for the following parabola

for different values of a, b, and c.

5 different values of a when b=1 and c=0

5 different values of b when a=1 and c=0

5 different values of c when a=1 and b=1

It is obvious to see that from these graphs a, b, and c all change the graphs drastically. It appears that a affects the width of the parabola, b affects the location of the vertex both horizontally and vertically, and c affects the vertex vertically.

 case 2