You will complete the LAB for either Group A or Group B.

You will answer all lab questions in your journal.  Be sure to graph each function on the DESMOS link provided.  Be sure to save often.  You will upload the link to Google Classroom and you must complete the Google Form at the end of the lab.

Absolute Value Functions:

Parent Function

f(x)=|x|  

Click the link to open and save DESMOS for Transformations of Absolute Value Functions. 

af(bx-c)+d is applied to the parent function  f(x)=|x|

1. Vertical Stretch / Compression: 

What is the effect of "a" compared to the parent function f(x)=|x|?  

How do the values in the table change?

2. Vertical Shift: 

How does the graph change with "d" when the value is + or - affect f(x)=|x|?  

How do the values in the table change?

3. Reflection: 

What happens to the graph of f(x) = -|x| compared to f(x) = |x|?  

How do the values in the table change?

4. Horizontal Stretch: 

What is the effect of  "b" when applied to f(x)=|x|?  

How do the values in the table change?

5. Horizontal Shift:  

What is the effect of "c" when applied to f(x)=|x|?   

How do the values in the table change?

6. Horizontal Shift: 

How does the graph of the given function differ from f(x)=|x|?

7. Minimum / Maximum  Value:  

Where does the minimum value occur for the parent function f(x)=|x|?  

How does the minimum/maximum value change for the given function?  

8. Vertex Form:  

Given the Vertex Form of the functions for [Group A or Group B] in Desmos,  graph the vertex, two points on the left interval and two points on the right interval.  Label all of the points. The additional four points must not be on the x-axis or y-axis.

Notes:

Absolute Value Transformations Lab 1

Extended Learning Lab Questions