Exploring Quadratic Equations (parabolas)

The sliders will change the a, b, and c values. Answer the questions beneath the graph.

1A) Describe the graph when a=0, b=0, c=5. 1B) Write the equation for these values. 2A) Describe the graph when a=0, b=1, c=0. 2B) Write the equation for these values. 3A) Describe the graph when a=0, b=-1, c=0. 3B) Write the equation for these values. 4) Set a=0, b=1, c=0. What happens as you change the value of c? 5A) Describe the graph when a=1, b=0, c=0. 5B) Write the equation for these values. 6) Describe what happens when the value of a becomes negative. 7) Start with a=1, b=0, c=0. Increase c. Describe what happens to the graph. 8) Start with a=1, b=0, c=0. Decrease c. Describe what happens to the graph. 9) Start with a=1, b=0, c=0. Increase b. Describe what happens to the graph. 10) Start with a=1, b=0, c=0. Decrease b. Describe what happens to the graph. 11) What do you think would happen if you start with a=1, b=0, c=0 and then changed a to 1/2? Try it and describe the graph.