Using Sliders to Modify Parameters
Let’s try out a more dynamic way of exploring the impact of a parameter on a quadratic polynomial f(x) = a * x^2 + b by using sliders to modify the parameter values.
Instructions
| 1. | 
| Create a variable a = 1.
Note: The variable is displayed automatically as a slider in the Algebra View.
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| 2. |  | Display the variable a as a slider in the Graphics View. Hint: Click on the Show / Hide icon next to number a in the Algebra View. |
| 3. |
| Enter the quadratic polynomial f(x) = a * x^2.
Hint: Don’t forget to enter an asterisk * or space between a and x^2.
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| 4. | 
| Change the slider value to a = 2 by dragging the point on the line and watch how this influences the function graph. |
| 5. |  | Create a slider b using the Slider tool. Hint: Activate the tool and click on the Graphics View. Use the default settings and select Apply. |
| 6. | | Enter the polynomial f(x) = a * x^2 + b.
Hint: GeoGebra will overwrite the old function f with the new definition. |
| 7. | | Change the values of sliders a and b and explore, how this affects the graph of the new polynomial. |