Lesson 2.6 Families of Functions.notebook
October 11, 2011
Plug in points and graph the function, Warm­up
Parent Function
2.6 Families of Functions
X
Y
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Objective: Graph any absolute value functions using
translations of the parent function
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Oct 11­9:29 AM
Sep 18­10:39 AM
Absolute Value Functions
* equation f(x)=a|x - h|+k
What do changes in "a", "h" & "k" look like when
you graph an absolute value function?
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Transformation Formula
&
Jun 2 ­ 10:27 AM
To graph an absolute value function...
Oct 12­2:40 PM
Write an equation for each translation of
Use f(x)=a|x - h|+k
1. First identify the parent function (with vertex at origin).
2. Identify the slope, the horizontal translation, and the vertical translation of the graph.
3. Find and graph the new vertex (h, k) after the translations.
4. Use the slope to graph points on either side of the vertex.
5. Draw your graph.
Oct 12­2:45 PM
Sep 18­10:54 AM
1
Lesson 2.6 Families of Functions.notebook
More equations...
Use f(x)=a|x - h|+k
October 11, 2011
Graph these absolute value functions:
1. f(x)=|x+3|-2
3. f(x)=-|x+1|+2
2. f(x)=|x-1|+3
Answers are hiding!!!
Sep 18­10:56 AM
Jun 2 ­ 9:10 AM
Graph these absolute value functions:
1. f(x)= -2|x - 4|-2
2. f(x)=3|x+2|- 4
3. f(x)=- 1/2|x - 1|+2
Now find the domain & range of these
absolute value functions:
1. f(x)=|x+3|-2
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R:
3. f(x)=-|x+1|+2
2. f(x)=|x-1|+3
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R:
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Answers are hiding!!!
Jun 2 ­ 9:10 AM
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Try 1. f(x)= -|x - 4|-2
Jun 2 ­ 9:10 AM
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Now find the domain & range of these
absolute value functions:
2. f(x)=3|x+2|- 4
3. f(x)=- 1/2|x - 1|+2
Homework #15
Pg 97 #1­7 odd, 8, 9, 12, 14, 29­
31, 35, 36
Chapter 2 Test!!!
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Jun 2 ­ 9:10 AM
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Pd 4: Tuesday October 18th
Pd 5: Thursday October 20th Jun 2 ­ 10:11 AM
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Attachments
Absolute Value slider.gsp