Horizontal Shift of Graphs


An applet helps you explore the horizontal shift of the graph of a function.

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.

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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)=x
2 or f(x)=x3.

Related topics on graph transformations can be found in this site.

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