back

Example: Graphing a Square Root.

Graph the given function using transformations.

Below are step by step instructions, or see the transformation animated.

1. Determine the "base" function.
   
   The base function is the square root function.
    
2. Factor (if possible) terms that involve the variable.
   
   
    
3. List the transformations.
   
   a.)    Flip (or reflection) about the y axis.
   b.)    Stretch horizontally by a factor of 4.
   c.)    Stretch vertically be a factor of 5.
   d.)    Shift right by 1.
   e.)    Shift down by 2.
    

Algebraic Definition.	Explanation.	Graph.
	The base function.
4.     Perform all flips (or reflections).
	Flip around the y axis.
5.     Perform stretches and/or compressions.
	Stretch horizontally by 4.
	Stretch vertically by 5.
6.     Perform shifts.
	Shift right by 1.
but this is:	Shift down by 2.

  last modified September 05, 2007