
Author: Ton Lecluse 
Investigating a function 


This exercise requires you to set the difficulty level to intermediate in the configuration window. You should start with an existing drawing. Click file, open or click the open folder button . Open the “parabola with parameter” file, you will find it in the DEMO folder. The parabola y = x˛ will appear in the coordinate system. 

Now, rightclick this graph
and a menu with one single line will appear. Click it and the menu will
extend. You should choose the following: “animated analysis”, “investigate
parameter”. 

A (parameter) control
box will pop up. The factor is listed before x and can be changed
manually causing the parameter to change. (The number on the first line
will either be added to or subtracted from the number on the second line.
You can decide whether to increase or decrease the number.) 

Should
you click on button number two, you will continue working with the second
(red) function. You can now move it horizontally or vertically. The
function is f (x) = (x – a)˛ + b and it contains two parameters.
Geocadabra allows you to define functions yourself and these functions can
consist of up to 4 parameters.
You can
investigate even more functions. Why not explore the possibilities by
rightclicking on one of the functions and scan the options in the
presented menu? 