1. 2.6: Absolute Value and Families of Functions
Our feelings are our most genuine paths to knowledge.

2. Absolute Value
Ex1) Graph y = |x|

3. Terms
Family of Functions: Functions with certain common characteristics. (ex: the absolute value functions)
Parent Function: Simplest function with these characteristics
Translation: Shift horizontally, vertically, or both
Stretch: occurs when multiplying the function by a value greater than 1
Shrink: occurs when multiplying the function by a value between 0 and 1
Reflection: Change y values to their opposites when reflecting over the x-axis

4. Transformations (the whole enchilada)
#1: vertical stretch (|a| > 1) or shrink (0 < |a| < 1) *negative: vertical reflection
#2: horizontal translation (opposite)
#3: vertical translation
Parent function y = |x|
Key points (-1, 1), (0, 0), (1, 1)

5. Describe
Describe, in order, the sequence of transformations of each function and then graph the function by hand.

6. Write the Function
Write a function rule for each of the graphs below.

7. 2.6: Absolute Value and Families of Functions
HW: 1-13 odd, odd, even, all
Our feelings are our most genuine paths to knowledge.