1. Absolute Value Review 5.) |-x| = ? if x = -2 6.) |x| - 3 = ? if x = -2
Answer: 2
6.) |x| - 3 = ? if x = -2
Answer: -1
7.) |x - 2| - 1 = ? if x = -2
Answer: 3
8.) -|x + 1| = ? if x = -2
1.) |5| = ?
Answer: 5
2.) |-5| = ?
3.) |-10| = ?
Answer: 10
4.) |0| = ?
Answer: 0

2. SWBAT… graph absolute value functions
Fri, 11/4
SWBAT… graph absolute value functions
Agenda
Absolute value review (10 min)
Graphing absolute value functions (10 min)
Transformations of absolute value functions (5 min)
HW#3: Absolute value functions

3. SWBAT… graph absolute value functions
Tues, 9/20
SWBAT… graph absolute value functions
Agenda
Warm Up (5 min)
Transformations of linear functions (5 min)
Absolute value functions (20 min)
Transformations of absolute value functions (10 min)
Warm-Up:
How does the graph of y = x + 1 compare to the parent function graph, y = x?
HW#3-Absolute value functions and HW#4-Linear graphs & table of values application

4. The graph of the function y = x + 1 shifts 1 units up from the parent function, y = x.
Q: How does the graph of y = -x – 2 compare to the parent function graph, y = x?
A: The graph of the function y = -x – 2 is reflected across the x-axis and shifts 2 units down from the parent function, y = x.

5. Absolute Value Function: A function in the form y = |mx + b| + c (m 0)
Ex 1: Graph y = |x| by completing a table of values:
Parent Function x y
(x, y) -2 2
(-2, 2) -1
(-1, 1)
(0, 0) 1
(1, 1)
(2, 2)

6. Ex 2: Graph y = |x| – 3 by completing a table of values:
How does the graph of y = |x| – 3 transform from the parent function graph of y = |x| ?
y = |x| – 3 is shifted 3 units down from the parent function, y = |x|
Ex 2: Graph y = |x| – 3 by completing a table of values:
x y -2 -1 1 2
y =|-2| – 3= -1
y =|-1| – 3= -2
y =|0| – 3= -3
y =|1| – 3= -2
y =|2| – 3= -1

7. Q: How would y = |x| + 5 transform from the parent function, y = |x|?
A: The function y = |x| + 5 would shift 5 units up from the parent function, y = |x|.

8. Reminders! More absolute value examples on-line
HW3-Absolute value functions
HW4-Tables of values application
Review PPT3-Piecewise functions
Tomorrow for 3rd period go to the Distance Learning Lab (next to the clinic)

9. SWBAT… graph absolute value functions
Thurs, 9/21
SWBAT… graph absolute value functions
Agenda
Warm Up (10 min)
Absolute value functions (20 min)
Applications of TOV (15 min)
Warm-Up:
1. -|x + 1| = ? if x = -2, x = -1, x = 0, x = 1, x = 2
2. How does the graph of y = |x + 1| compare to the parent function graph, y = x?
(It does NOT shift up 1 unit!)
3. How does the graph of y = -|x + 1| compare to the parent function graph, y = x?
Review PPT4 : Algebraic equations from data

10. Warm-Up: #2
The graph of y = |x + 1| is shifted one unit to the left.

11. Ex 4: Graph y = -|x + 1| by completing a table of values:
y = -|x + 1| is shifted 1 unit to the left and rotated around the x-axis from the parent function, y = |x|
Ex 4: Graph y = -|x + 1| by completing a table of values:
y = -|x + 1|
The vertex, or maximum point, is (-1, 0).
x y -2 -1 1 2
y =-|-2 +1| = -1
y =-|-1+ 1| = 0
y =-|0 + 1| = -1
y =-|1 +1| = -2
y =-|2 +1| = -3

12. Problem #3 y = SB

13. Ex 3: Graph y = |x – 2| – 1 by completing a table of values:
y = |x – 2| – 1 is shifted 2 units to the right and 1 unit down from the parent function, y = |x|
Ex 3: Graph y = |x – 2| – 1 by completing a table of values:
y=|x – 2| – 1
x y -2 -1 1 2
y =|-2 – 2| – 1= 3
y =|-1 – 2| – 1= 2
y =|0 – 2| – 1= 1
y =|1 – 2| – 1= 0
y =|2 – 2| – 1= -1
The vertex, or minimum point, is (2, -1).

14. Q: How would y = |x + 4| + 3 transform from the parent function, y = |x|?
A: The function y = |x + 4| + 3 would shift 4 units to the left and 3 units up from the parent function, y = |x|.

15. #6 on HW3
Q: How would y = -|x + 1| + 3 transform from the parent function, y = |x|?
A: The function y = -|x + 1| + 3 would shift 1 unit to the left shift, 3 units up, and rotate around the x-axis from the parent function, y = |x|.