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.
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)=x^{3}.
Related topics on graph transformations can be found in this site.
Explore interactively and understand the stretching and compression of the graph of a function when this function is multiplied by a constant a. Vertical Stretching and Compression(scaling)
Explore the changes that occur to the graph of
a function when its independent variable x is multiplied by a
positive constant a. Horizontal Stretching and Compression