Lesson 6 - Tools

The Absolute Value Tool:

How to change the graph of y=f(x) to y=| f(x) | -  For positive y- values, nothing changes on the graph. For negative y- values there will be a reflection over the x- axis.

example:

 1)  y= (x - 1)^2 - 2  - base graph                               All negative y-values become positive values

 2) y= | (x - 1)^2 - 2 | - reflection graph     

                                                          

 The Reciprocal Tool:

Steps:                                                                  

1. Base
2. Vertical Asymtotes (zeros)
3. Invariant points
4. Big points to small points
5. Small points to Big points