Tutorial 4 - Basic Graphing

In Tutorials 1 to 3, we learned about the Geometry tools in GeoGebra. Here, we learn how to plot graphs. In this tutorial, we graph the functions

and

and then reflect the graph of f about the graph of

. Try them yourself first and if you have difficulties, read the Construction Steps below.

Expected Output

To plot the graph of , click on the Input bar (right of the + button on the left window) and type f(x) = e^x, then press the ENTER key on your keyboard.
Plot the graph of .
Select the Point tool and click on the graph of f. This will plot point A.
To plot point B with reverse coordinates as A, type B = (y(A), x(A)). The command y(A) returns the y coordinate of A and x(A) returns the x coordinate of A.
Right click on B and then select Show Trace.
Move point A and observe what happens.

To plot points, just type the name of the point and then the coordinates. For example, A = (2,3) for point A on (2,3).
GeoGebra supports both the y and f(x) notations.

1.) How is the trace of point B related to the graph of f and the graph of y = x? 2.) What do you think is the equation of the trace of B?