Use the tools available for this activity and the
Transformations tool from the general tools list
to learn about transformations and the
ways in which they affect the various representations of a function:
the graph, the value table, and the correspondence rule.
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Write an essay on transformations
Study the translation and reflection operations.
The tasks in this activity may suggest some directions for
investigation.
Some issues to consider:
How are the various transformations expressed in
the different representations of a function?
- In the graph
- In the correspondence rule
- In the value table
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How do the various transformations affect the properties
of a function (such as increase or decrease, points of
intersection with the axes, or slope)?
Which of the properties change and which do not?
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How can transformations help in describing phenomena?
When a transformtion is applied to a graph that describes
a story, what is the meaning of the transformation in terms of
the story?
The tasks contain some examples of phenomena that can be
described using functions, and in which transformations
can be used to describe changes in the story.
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