Question 777768
Using y=|x| as reference.  Let a, b, be positive real numbers.


y=|x-a| moves the reference graph a units to the right.  


y=|x|-b moves the reference graph downward by b units.  


y=|x-a|-b moves the reference graph toward the right by a units AND downward b units.


y=|x+a| would move the reference graph toward the LEFT by a units.