1. Absolute Value and Translations Section 6-8

2. Notes The absolute value is the distance a number is away from zero. Because distance can never be negative the answer is always positive. Easy way, make any number positive

3. Notes Translation is a shift of a graph horizontally, vertically, or both. The graph has the same shape and size, just in a different location

4. Vertical Translation

5. Example We will need to create a table for two functions: y = |x| y = |x + 2|

6. Example Now we will need to graph the functions

7. Notes In order to translate a function horizontally you can add a number inside the absolute value sign the graph and it will translate to the left. If you subtract a number inside the absolute value sign the graph will translate to the right.