Name: Date: Period: Topic: Graphing Absolute Value Equations Warm-Up:

Name: Date: Period: Topic: Graphing Absolute Value Equations Warm-Up: 1. Solve the following system of inequalities by graphing: y 2x 4 - 3x – 2y 6 2. Which inequality represents the graph below? a) y x 1 b) y x 1 c) y x 1 d) y x 1

Home-Learning Assignment #5 Review

Quiz #8

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

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.

Parent Function y x

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

Lets practice! y x - 4 y x 3

Your turn! y x 7 y x - 2

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

Lets Practice! y x - 5 y x 6

Your Turn! y x 4 y x - 1

What about y x - 4 5

What about y - x - 2

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

Practice Time!!! Algebra Aerobics! 1) y x - 1 6) y x - 1 2 2) y x 3 7) y - x - 6 3) y x 5 8) y - x - 4 4) y x - 4 9) x y - 3 5) y x 3 3 10) y - x 1 - 1

Mix Algebra Aerobics y - x 2 - 2 y x - 4 y -3x -1 y - x - 7 8 y x 5 x 4 y 6 4x 3y 24 y x 3

Review

Review

Review

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?

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