1. Absolute Value Functions
Algebra

2. Absolute Value Inequality

3. Absolute Value Functions
General form of Absolute Value Function
f(x) = |x – h| + k
Absolute Value Functions

4. Absolute Value Functions

5. Absolute Value Functions

6. Absolute Value Functions

7. Absolute Value Functions

8. Absolute Value Functions

9. Absolute Value Functions

10. Absolute Value Functions Practice
Let g(x) be the indicated transformation of f(x) = |x|. Write the rule for g(x) and graph the function
3 unit right
g(x) = |x – 3|
8 unit down
g(x) = |x| – 8
Reflected across the x-axis
g(x) = – |x|
Absolute Value Functions Practice

11. Absolute Value Functions Practice
Translate f(x) = |x| so that the vertex is at the given point
(3, – 5)
g(x) = | x – 3| – 5
(– 0.5, 12)
g(x) = | x + 0.5| + 12
Absolute Value Functions Practice

12. Absolute Value Functions Practice
Let g(x) be the indicated transformation of f(x) = |x|. Write the rule for g(x) and graph the function
5 unit left followed by a reflection in the y-axis
g(x) = | – x + 5|
Stretched by 3 horizontally
g(x) = |x/3|
2 unit down and stretched 5 vertically
g(x) = 5|x| – 10
Absolute Value Functions Practice

13. Pages 161 – 163
9 – 13, 15 – 17, 27 – 29, 44, 47
Homework