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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.Toolbar Image

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.Toolbar Image Enter the quadratic polynomial f(x) = a * x^2. Hint: Don’t forget to enter an asterisk * or space between a and x^2.
4.Toolbar Image Change the slider value to a = 2 by dragging the point on the line and watch how this influences the function graph.
5.Toolbar ImageCreate 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.Toolbar ImageEnter the polynomial f(x) = a * x^2 + b. Hint: GeoGebra will overwrite the old function f with the new definition.
7.Toolbar ImageChange the values of sliders a and b and explore, how this affects the graph of the new polynomial.