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The exploration of the graphs of function f(x) is carried out by adding a constant c to the independent variable x
f(x+c)
and change it.
TUTORIAL
1 - Click on the button above "click here to start" and MAXIMIZE the window obtained.
2 - Use the scrollbar to set the constant c to negative values and observe the effect on the graph. Is the graph shifted to the left or to the right?
3 - the scrollbar to set the constant c to positive values and observe the effect on the graph. Is the graph shifted to the left or to the right?
Note: You have the choice (left panel, top) of any of the three functions
f(x)=||x|-2| (this has a "W" shaped graph), f(x)=x2 or f(x)=x3.
Related topics on graph transformations can be found in this site.
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