Learning Objectives:

__Graphing and Finding Equations of Transformed Absolute Value Functions __

An **absolute value function** is a function whose rule contains an **absolute value expression**. The **parent graph** for **absolute values **is **f(x)=|x|** and the general shape will look like a **“v”** . When we** graph** **y = -|x|** we have the exact same shape as the **graph** of **y = |x|** only the **“v”** shape is upside down now. There appears to be a pattern when it comes to **graphing absolute value functions. **

1) When you have a **function** in the form **y = |x + h|** the **graph** will move** h** units to the left.

2) When you have a **function** in the form **y = |x - h|** the **graph** will move** h** units to the right.

3) When you have a **function** in the form **y = |x| + k** the **graph** will move up **k **units.

4) When you have a **function** in the form **y = |x| - k** the **graph** will move down **k** units.

5) If you have a negative sign in front of the absolute value, the **graph **will be reflected, or flipped, over the **x-axis**.

**Hook questions:**

*1. What is an absolute value function?*

*2. What is meant by absolute value transformation?*

*3. What is meant by parent function and transformation?*

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