  # Vertical Shifting or translation of Graphs

This applet allows you to explore interactively the vertical shifting or translation of the graph of a function.

 A constant d is added to a function f(x) and its graph is investigated by changing d. The function to be analyzed is of the form g(x) = f(x) + d where f(x) is any of the functions: f(x)=||x| - 2| ( a "W" shaped graph) f(x)=x2 or f(x)=x3. Your browser is completely ignoring the tag! TUTORIAL How does the addition of a constant to a function affect the graph of this function ? 1-use the scroll bar to set the constant to different values and observe the effect on the graph. What is the range of values of the constant that create a vertical shifting up ? What is the range of values of the constant that create a vertical shifting down? Explain analytically. 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. More pages and topics related to graph transformation (scaling, shifting) can be found in this site.