Discussion:  All Topics in Algebra II 
Topic:  Left Right Translation of Functions 
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Subject:  RE: Left Right Translation of Functions 
Author:  The NonWhistler 
Date:  Nov 29 2004 
f(x)=(x2)^2 a shift to the RIGHT of 2 in the xdirection of f(x)=x^2. Well,
solving (x2)^2=0 gives x=2, so it has to be to the right. Support this with
the graphs.
Hope this helps.
On Nov 27 2004, Susan wrote:
> Most students have no problems understanding a real world
> application that shows 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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