Lesson 2.1 Graphing Absolute Value Functions
Description: 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
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slide1. Lesson 2.1 Graphing Absolute Value Functions<br>
slide2. Absolute Value The distance from zero
Will always be positive<br>
slide3. Graph of Absolute parent function<br>
slide4. Graphing Absolute Value through transformations<br>
slide5. Graphing Absolute Value through transformations<br>
slide6. 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<br>
slide7. Example Graph y=Ix +3I<br>
slide8. Example Graph y=IxI - 5<br>
slide9. Example Graph y=2IxI<br>
slide10. Example Graph y=1/2Ix +3I - 2<br>
slide11. Example Graph y= -3Ix –2I +4<br>
slide12. You Try Graph y=2Ix + 1I –1<br>
slide13. Graph to equation What is the equation of this graph<br>
slide14. 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<br>
slide2. Absolute Value The distance from zero
Will always be positive<br>
slide3. Graph of Absolute parent function<br>
slide4. Graphing Absolute Value through transformations<br>
slide5. Graphing Absolute Value through transformations<br>
slide6. 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<br>
slide7. Example Graph y=Ix +3I<br>
slide8. Example Graph y=IxI - 5<br>
slide9. Example Graph y=2IxI<br>
slide10. Example Graph y=1/2Ix +3I - 2<br>
slide11. Example Graph y= -3Ix –2I +4<br>
slide12. You Try Graph y=2Ix + 1I –1<br>
slide13. Graph to equation What is the equation of this graph<br>
slide14. 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<br>