Exploring Quadratic Equations (parabolas)
- Author:
- ccarley
- Topic:
- Equations, Parabola, Quadratic Equations
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.