Absolute Value Functions.


Photobucket The graph form of an absolute value is y= a|x+h|+k 
  
		Ex: y= 3|x+1|+3
Photobucket To graph an absolute value function, you must find the vertex.
PhotobucketThe vertex of the graph is (h,k) 

		Ex: y=3|x+1|+3
		vertex: (-1,3)





  
PhotobucketRemember to change value of "h" because n the basic form "h" is a negative.



The graph is V shaped. 
-It opens up if "a" is positive.
-It opens downward if "a" is negative.


		Ex: y= 2|x+2|+1  -----> The graph opens upwards.
		
		Ex: y= -2|x-3|+2  -----> The graph open downwards.

		




  
Photobucket"a" is also the slope, which will help you find the second point.
		
		Ex: 2|x+2|+1 			
* If the slope is 2, then it would be 2/1.
Which means to go up two and over one.
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Practice Problems:


1. Graph the vertex of this function.
	y= |x+1|+3


2. Graph the following function. Is it narrow or wide? Up or down?
	y= |x|+4


3. Graph the following function. Is it narrow or wide? Up or down?
	y= -3|x-2|+1


4. Write the function for the graph.


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