Graphing Absolute Value Functions
Lesson 2.1
Graphing Absolute Value Functions
Absolute Value
•
The distance from zero
•
Will always be positive
Graph of Absolute parent function
Graphing Absolute Value through
transformations
Graphing Absolute Value through
transformations
Steps for graphing absolute through
transformation
•
Identify and graph the vertex (remember the vertex is (h,k) and h is always
opposite sign)
•
Use the a and a table to find and graph two more points one on each side
of the vertex
•
X f(x) af(x)
•
X represents the distance to move over from the vertex I always use one
•
F(x) will be the parent function IxI how much we move up and down if
there is no a
•
af(x) will be the parent function IxI times a (the stretch or compression)
how much we move up or down if there is an a in the equation
Example
•
Graph y=Ix +3I
Example
•
Graph y=IxI - 5
Example
•
Graph y=2IxI
Example
•
Graph y=1/2Ix +3I - 2
Example
•
Graph y= -3Ix –2I +4
You Try
•
Graph y=2Ix + 1I –1
Graph to equation
•
What is the equation of this
graph
Homework
•
Worksheet pg. 111 1-27 odds, 29 and 30
Directions for 1-27 odds
Describe the transformation
Identify the vertex
Graph
Find Domain and Range
Explore the concept of graphing absolute value functions through transformations. Learn about the importance of the absolute value function, graphing techniques, vertex identification, and transformation variations. Practice examples provided for better understanding.
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Presentation Transcript
Lesson 2.1 Graphing Absolute Value Functions
Absolute Value The distance from zero Will always be positive
Graphing Absolute Value through transformations
Graphing Absolute Value through transformations
Steps for graphing absolute through transformation Identify and graph the vertex (remember the vertex is (h,k) and h is always opposite sign) Use the a and a table to find and graph two more points one on each side of the vertex X f(x) af(x) X represents the distance to move over from the vertex I always use one F(x) will be the parent function IxI how much we move up and down if there is no a af(x) will be the parent function IxI times a (the stretch or compression) how much we move up or down if there is an a in the equation
Example Graph y=Ix +3I
Example Graph y=IxI - 5
Example Graph y=2IxI
Example Graph y=1/2Ix +3I - 2
Example Graph y= -3Ix 2I +4
You Try Graph y=2Ix + 1I 1
Graph to equation What is the equation of this graph
Homework Worksheet pg. 111 1-27 odds, 29 and 30 Directions for 1-27 odds Describe the transformation Identify the vertex Graph Find Domain and Range
