Discussion:  All Topics in Algebra II 
Topic:  Left Right Translation of Functions 
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Subject:  Left Right Translation of Functions 
Author:  Susan 
Date:  Nov 27 2004 
a vertical shift in a function. For example, if students are asked to think of
a graph of the path of a ball ball that is thrown from a person holding it at
waist level, and then another graph that shows the same throw from a person that
is standing on a ladder throwing it from waist level, they can easily see that
the vertical translation makes sense. What is so much harder to explain is the
horizontal shift. I have only seen it explained through a real world example in
one text. All the students "know" that you shift it to the left/right according
to the number in the parenthesis, but I don't think they understand why it is
the opposite of the number, or how it would relate to a real world situation.
Does anyone have a good way to explain this?
 
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