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Shifting, Reflection, Etc.

OK, let's go!

Graph y = | x - 2 | ... it's V guy! ... shift is inside with the x ... shift right to x = 2 ... | 2 - 2 | = | 0 |

graph of y = | x - 2 | ... some points on the graph include ( 1 , 1 ) , ( 2 , 0 ) , ( 3 , 1 ) , and ( 4 , 2 )

 

 

Graph 


 

 

 

 

 

  y = -2 | x | ... upside down V and twice as tall

 

 

 

 

graph of y = -2 | x | ... some points on the graph are ( -1 , -2 ) and ( 1 , -2 )

 

 

Graph 

 

 

 

 

 

  y = | x | - 3 ... shift down 3

 

 

 

 

graph of y = | x | - 3 ... some points on the graph are ( -3 , 0 ) , ( 0 , -3 ) and ( 3 , 0 )

 

TRY IT:

Graph:

y = - | x | + 4

y = 2 | x + 3 |