 Remember back in geometry when you did translations? A translation is a. The coordinates of a point use a rule to move from its to its. slide preimageimage.

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This presentation is the intellectual property of Christine Markstrum Chapter 7 Transformations.

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Presentation transcript:

 Remember back in geometry when you did translations? A translation is a. The coordinates of a point use a rule to move from its to its. slide preimageimage

Example: PreimageImage (shifted right 2 and up 1)

 We can also use matrices to find the coordinates of a translated point P’, given the translation and the preimage point P as shown below.  x is the x-coordinate the the preimage, and x’ is the x-coordinate of the image.  y is the y-coordinate of the preimage, and y’ is the y-coordinate of the image.  h is the horizontal translation and k is the vertical translation.

 Find the coordinates of the image P’ of the given point P under the translation for the given matrix. 1.

 Find the coordinates of the image P’ of the given point P under the translation for the given matrix. 2.

 We can also find the coordinates of the preimage given the image point and the translation matrix.

 Find the coordinates of the preimage P of the given point P’ under the translation for the given matrix. 3.

 Find the coordinates of the preimage P of the given point P’ under the translation for the given matrix. 4.

 We are also able to find the translation matrix given both the preimage point and the image point.

 Find the matrix equation of the translation of the plane that transforms the point P to the given point P’. 5.

 Find the matrix equation of the translation of the plane that transforms the point P to the given point P’. 6.