Absolute Value Eqns and Functions.notebook
August 22, 2016
Homework Answers
1. x = 16 or x = ­13 2. x = ­1 or x = 17/3
3. no solution 4. x = 11
5. x = ­4 6. x= 8 or x = 0
7. x = ­1 or x = ­2
HW Answers
Absolute Value Functions
All absolute value functions are v­shaped.
Parent Function: y = |x|
x
y
­2
­1
0
1
2
Domain: Range: Vertex: Parent Abs Value
1
Absolute Value Eqns and Functions.notebook
August 22, 2016
Family of Absolute Value Functions
What effect do a, h, and k have on the parent?
Graph these functions using a graphing calculator. Effect of k Effect of h
Explore Effect of k & h
Now, graph these using your graphing calculator. Effect of a Effect of a = ­1
Explore Effect of a
2
Absolute Value Eqns and Functions.notebook
August 22, 2016
SUMMARY of transformations: y = a|x ­ h| + k
open up/down
narrow/wide
moves up/down
left/right
1. "a"
2. "h"
3. "k"
Summary of Transformations
Describe the transformation that occurs to the parent function.
Describe Transformations
3