Transformations of graphs
Translating lines
The dynamic figure presents the graph of
a linear function with a slope of 3, passing through
the origin. Point A and six fixed points are marked on the graph (the name
and x/y coordinates of each point are shown on mouse-over).
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Translate the linear function in such a way that after the translation
point A coincides with point B=(0,6). What is
the correspondence rule for the translated function?
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Translate the original function so that each time
point A coincides with one of the given points.
Click the cancel translations button to
return to the original function f.
Record the correspondence rules you obtain in each case.
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Write a correspondence rule for a linear function with a slope of 3,
which passes through point (5,8).
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Write a correspondence rule for a linear function with a slope of 3,
which passes through point (-5,-8).
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Write a correspondence rule for a linear function with a slope of 3,
which passes through point (m,n).
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Write a correspondence rule for a linear function with a slope of a,
which passes through point (5,8).
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