Lesson 2.6 Families of Functions.notebook
October 10, 2011
Warm­up
Plug in points and graph the function, Parent Function
2.6 Families of Functions
X
Objective: Graph any absolute value functions using
translations of the parent function
Y
­1
1
­2
2
Oct 10­11:04 AM
Transformation Formula
Sep 18­10:39 AM
To graph an absolute value function...
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 12­2:40 PM
Oct 12­2:45 PM
Write an equation for each translation of
Graph these absolute value functions:
Use f(x)=a|x - h|+k
1. f(x)=|x+3|-2
2. f(x)=|x-1|+3
3. f(x)=-|x+1|+2
Answers are hiding!!!
Sep 18­10:54 AM
Jun 2 ­ 9:10 AM
1
Lesson 2.6 Families of Functions.notebook
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
October 10, 2011
Now find the domain & range of these
absolute value functions:
1. f(x)=|x+3|-2
D:
R:
2. f(x)=|x-1|+3
D:
R:
3. f(x)=-|x+1|+2
D:
R:
Answers are hiding!!!
Jun 2 ­ 9:10 AM
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1. f(x)= -|x - 4|-2
D:
R:
Jun 2 ­ 9:10 AM
tor.
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Now find the domain & range of these
absolute value functions:
2. f(x)=3|x+2|- 4
D:
R:
3. f(x)=- 1/2|x - 1|+2
D:
R:
Jun 2 ­ 9:10 AM
2
Attachments
Absolute Value slider.gsp