name: date: period: topic: graphing absolute value equations warm-up: 1. solve the following system...
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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
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.
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
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 │
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
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?