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Name: Date: Period: Topic: Graphing Absolute Value Equations

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.

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Name: Date: Period: Topic: Graphing Absolute Value Equations

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  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 transformationVocabulary: • 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: • 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: • 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 y = │x + 5│ y = -│x - 7│ + 8 x ≥ 4 y ≥ 6 4x + 3y ≤ 24 y = │x │ + 3

  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. • What effect does the 3 have on the graph? • 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)

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