Absolute Value and Piecewise Functions Homework- Day 1

Algebra 2

Unit 2- Absolute Value and Piecewise Functions

Mrs. Bratcher

Name:___________________________ Date:______________ Class: 3A 1B 2B 4B

Absolute Value and Piecewise Functions

Homework- Day 1

Graph the parent absolute function

. Graph the given function using

transformations. Describe each transformation. Identify the domain and range.

1. y = | x | + 4

2. y = | x | - 2

3. y = | x + 2 |

4. y = | x + 1| - 3

5. y = 3|x| +2

6.

y

= ?1 3

x+1 -4

Algebra 2

Unit 2- Absolute Value and Piecewise Functions

Mrs. Bratcher

Without graphing, identify the vertex, axis of symmetry, and transformations from the parent function f(x) = | x |.

7. y = 2| x + 1 |

8. y = | x - 2 | + 3

9. y = ? 1 x ? 2 2

Write an absolute value equation for each graph.

10.

11.

12.

13. Error Analysis For the graph to the right, you said the absolute value

equation is y = | x + 2 | - 5. Your friend said the equation is y = | x - 2 | + 5. Which one of you is correct? What mistake did the other person make?

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