In this tutorial, we use GeoGebra to investigate the effects of parameters of the equations of functions to the appearance of their graphs. First, we type equations and then use a slider investigate the effects of .
Note: This tutorial is updated for GeoGebra 4.2.
- Open GeoGebra and be sure the the Algebra and Graphics view is selected for the Perspective menu.
- To graph , type y = 2x in the input field. (The input field is the text box with the label Input located at the bottom of your GeoGebra window.) Press the ENTER key on your keyboard.
- Type the following equations: y = 3x, y = 4x , y = -8x, and press the ENTER key after each equation.
- Type more equations of the form where is any real number.
- How does the value of affect the appearance of the graph of the function ?
To avoid typing over and over again for varying values , we use the slider tool. A slider is a visual representation of a number. This time, we add the parameter b. This means that we will explore the graph of the function of , where and are real numbers.
- The ^ symbol is used for exponentiation. Hence, we write as a*x^2 + c.
- Instead of using in writing equations of functions, you can also use for the function .