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.
Try it yourself...
Instructions
1. | Create a variable a = 1 . | |
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. Change the slider value by dragging the appearing point on the line with the mouse. | |
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. |