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Group 1: Questions to consider...
 
When number next to x was positive, what happened to the graph of the parent function?
 

 
When number next to x was negative, what happened to the graph of the parent function?



          y = |x|

          y = |x ­ 3|

          y = |x + 4|


    Prediction... what would y = | x + 7| look like?
                  what would y = | x ­ 1| look like?


                                                                                         1
Group 2: Questions to consider...
When number at the end was positive, what happened to the graph of the parent function?

When number at the end was negative, what happened to the graph of the parent function?




  y = |x|

  y = |x | ­  3

  y = |x| + 4

Prediction...

what would y = | x + 4| ­ 6 look like?


                                                                                          2
Questions to consider...
 When the number in front of the absolute value was positive, 
 what happened to the graph of the parent function?

 When the number in front of the absolute value was negative, 
 what happened to the graph of the parent function?

 Does the absolute value of this number have any effect on the graph?


     y = |x|

     y = 2 |x |

     y =    |x| + 4
          1
          3


     y = ­ 2 |x |




                                                                        3
SUMMARY:

o   Standard Absolute Value Form:      y = a | x ‐ h | + k

o    (h, k) represents the  ______________________ of the graph

o   Effects of the different variables on the graph:




                                                                  4
Check for Understanding…

                                                            2
    1.   y + 5 = 3 |x ­ 2|                   2.   y =   ­      |x + 4| + 5
                                                            3




  3.  What translation takes y = | x + 2| ‐ 1    to    y = |x| + 2




                                                                             5
Check for Understanding: What is the equations of this graph?




                   y = ­|x­4|+1



                                                                6
Attachments



     Example 3.84script

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Alg2 Notes Unit 1 Day 6