Transformations of graphs
Different ways to translate
The figure shows two linear functions with the
same slope. The objective of this task is to examine how
different ways of translating a linear function
so that it coincides with another are reflected in
different correspondence rules obtained from
such translations.
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Translate function f in different ways so that its graph coincides with
that of g. Click the cancel translations button to return to the
original function f. Use:
- Vertical translations
- Horizontal translations
- A combination of vertical and horizontal translations
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In each case, record the correspondence rule obtained.
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How are the different correspondence rules related to each other? How many different correspondence rules can you obtain by performing the translations in different ways?
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If you first translate f 3 units downward, how many units must you translate it to the left to make it coincide with g?
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Now translate g in different ways in such a way that it coincides with f, and examine the resulting correspondence rules.
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