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Graphing by Transformations 
Introduction
Explanation
 

Objectives 


Examples

     
In certain situations we can obtain the graph of a complicated function formula by "transforming" one of our basic graphs. 

What makes these transformations special is that the graph's original shape stays the same, but the new graph may have been "moved" or "stretched."

In this section we will learn how to apply four such transformations:

  •    shifting 
  •    stretching 
  •    compressing 
  •    reflecting


We will keep track of these transformations by monitoring changes in the x and y coordinates of "basic" points from the original graph.

These basic points reveal the original graph's fundamental shape.