Name: Date: Period:

Topic: Graphing Absolute Value EquationsWarm-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 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.

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 │

Same rule, but now it makes it look down

Reflection of theParent-function

Practice Time!!!Algebra Aerobics!

1) y = │x - 1│

2) y = │x +3│

3) y = │x │ + 5

4) y = │x│ - 4

5) y = │x + 3│ + 3

6) y = │x - 1│+ 2

7) y = -│x - 6│

8) y = -│x │- 4

9) │x│+ y = - 3

10) y = -│x + 1│ - 1

Mix Algebra Aerobics

y = │x - 4│

y = │x + 5│

y = │x │ + 3

y = -│x + 2│ - 2

y = -│x - 7│ + 8

4x + 3y ≤ 24 y ≥ 6

x ≥ 4

y ≥ -3x -1

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)