Vocabulary
Complete the chart.
Word  Definition 
Mapping Rule  ___________________________________________________________ 
_____________  the final figure 
Transformation  ___________________________________________________________ 
Translation  ___________________________________________________________ 
_____________  the original figure 
Graphs of Translations
A translation is a movement of a figure. When you perform a translation on a shape, the coordinates of that shape will change:
 translating ______ means you will add the translated unit to the
y coordinate of the(x,y) points in the preimage  translating ______ means you will subtract the translated unit from the
y coordinate of the(x,y) points in the preimage  translating ______ means you will add the translated unit to the
x coordinate of the(x,y) points in the preimage  translating ______ means you will subtract the translated unit from the
x coordinate of the(x,y) points in the preimage
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Translate the following figures:
 2 units down and 3 units right

1 unit up and 5 units left

4 units down and 1 unit left
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Rules for Translations
A transformation is an operation that _____________, _____________, or _____________ a shape to create a new shape. There are two notations to write transformations:
 One notation looks like
T(3, 5) . This notation tells you to add 3 to thex values and add 5 to they values.  The second notation is a mapping rule of the form
(x,y)→(x−7,y+5) . This notation tells you that thex andy coordinates are translated tox−7 andy+5 .
Which notation is the most common? ____________________
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A "rule for translation" is just a way of saying how the image was changed. It is the rule to follow if you want to recreate that image.
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Write the mapping rule to describe the movement of the points in each of the translations below.

B(−4,−2)→B′(2,−2) 
A(2,4)→A′(2,6) 
C(−5,−3)→C′(−3,4)
Write the mapping rule that represents the translation of the preimage to the image for each diagram below.
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