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Graphs of Translations

Graph images given preimage and translation

Atoms Practice
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Graphs and Rules for Translations


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


Translate the following figures:

  1. 2 units down and 3 units right
  2. 1 unit up and 5 units left 

  3. 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:

  1. One notation looks like T(3, 5) . This notation tells you to add 3 to the x values and add 5 to the y values.
  2. The second notation is a mapping rule of the form (x,y)(x7,y+5) . This notation tells you that the x and y coordinates are translated to x7 and y+5 .
Which notation is the most common? ____________________
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.
Write the mapping rule to describe the movement of the points in each of the translations below.
  1. B(4,2)B(2,2)
  2. A(2,4)A(2,6)
  3. 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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Image Attributions

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