1.  Describe the transformations. 1. 2.  Graph the Function. 3. 4.

6. 1. Subtract under the radical 2. Add under the radical 3. Multiply under the radical 4. Divide under the radical 5. Add outside of the radical 6. Subtract outside of the radical a) Move up b) Move right c) Move down d) Move left e) Stretch f) Compress

7. Check the 1 st and 3 rd lines in your calculator. Do they match?

8.  Parent Function: xy 0 1 2 4 9

10.  Subtract under the radical  Add under the radical  Multiply under the radical  Divide under the radical  Add outside of the radical  Subtract outside of the radical

11. October 8 th

12.  By definition, absolute value is the distance from zero.  Can we ever have a negative distance?  How far away from zero is 3?  How about -2?

13.  How many ways are there to be 4 units away from zero?

14.  Evaluating an absolute value expression still requires PEMDAS. We treat absolute value bars like parenthesis, so we want to simplify inside of the bars first.  Example: Evaluate when x = 1.

16. Why do you think the graph looks like this?

17.  Domain:  Range:

18.  This will always give us the basic shape of our absolute value functions. We will use what we know about transformation s to shift the graph.

19.  Based on what happened to radicals, describe the transformations that might occur for each of the following from the parent function:

20.  Add/Subtract INSIDE the bars: ◦ opposite direction, left and right  Multiply by a value greater than 1 in FRONT: ◦ stretch (skinny), slope of right side  Multiply by a value between 0 and 1 in FRONT: ◦ wider, slope of right side  Add/Subtract after the bars: ◦ up and down

21.  To graph absolute value functions with transformations, we want to look from left to right. We will graph the transformations in that order.

22.  Domain:  Range:

23.  Domain:  Range:  Domain:  Range:

25.  We are looking for groups of 3 ◦ Graph ◦ Function ◦ Description of Transformations

26.  Worksheet