1. Name: Date: Period: Topic: Graphing Absolute Value Equations
Warm-Up:
Solve the following system of inequalities by graphing:
y < 2x + 4
- 3x – 2y ≥ 6
Which inequality represents the graph below?
y < x + 1
y ≥ x + 1
y ≤ x + 1
y > x + 1

2. Home-Learning Assignment #5 Review

3. Quiz #8

4. Graphing Absolute Value Equations
How do I make one of those V graphs?

5. Absolute value transformation Vocabulary:
Translation: shifts the parent function graph horizontally and vertically.
Reflection: it creates a mirror image of the parent-function graph across the line of reflection.

6. Parent Function y = │x │

7. Vertical Movements? Absolute value rules: y =│x│- 2 y =│x│+ 2
If you have minus outside the absolute value, you move down on the coordinate plane.
y =│x│- 2
If you have addition outside the absolute value, you move up on the coordinate plane.
y =│x│+ 2

8. Lets practice!
y = │x│ - 4
y = │x│+ 3

9. Your turn!
y = │x│ + 7
y = │x│ - 2

10. Horizontal Movements? Absolute value special rules: y =│x - 2 │
If you have minus inside the absolute value, you move to the right on the coordinate plane.
y =│x - 2 │
If you have addition inside the absolute value, you move to the left on the coordinate plane.
y =│x + 2 │

11. Lets Practice!
y =│x - 5│
y =│x + 6│

12. Your Turn!
y =│x + 4│
y =│x - 1│

13. What about y = │x - 4 │+ 5

14. What about y = -│x - 2 │

15. y = -│x │ Reflection of the Parent-function
Same rule, but now it makes it look down

16. Practice Time!!! Algebra Aerobics!
6) y = │x - 1│+ 2
7) y = -│x - 6│
8) y = -│x │- 4
9) │x│+ y = - 3
10) y = -│x + 1│ - 1
1) y = │x - 1│
2) y = │x +3│
3) y = │x │ + 5
4) y = │x│ - 4
5) y = │x + 3│ + 3

17. Mix Algebra Aerobics y = │x - 4│ y = -│x + 2│ - 2 y ≥ -3x -1

18. Review

19. Review

20. Review

21. Verbal Comprehension Analysis
Graph the functions y = │x │ and y = │x - 3 │ together on the same coordinate plane.
What effect does the 3 have on the graph?
Graph the functions y = │x │ and y = │x │- 3 on the same coordinate plane.
Graph the functions y = │x │ and y = - │x │ together on a coordinate plane.
What effect does the negative sign have on the graph?

22. Wrap-up: Review key points Review vocabulary words ---- Reminder ----
Study for Exam #8
(Linear Inequalities, Systems of Inequalities, & Graphing Absolute Value Equations)