Horizontal Shift of Graphs

# 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. Your browser is completely ignoring the tag! 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. 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 Explore interactively the vertical shifting of the graph of a function. Vertical Shifting/translation of Graphs