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Draw the image of each figure under the given transformation. Then describe the transformation in words.

Draw the image of each figure under the given transformation Then describe the transformation in words class=

Respuesta :

The transformation is already given. If the coordinates is originally (x,y), you'll just copy the x-coordinate, and take one-third of the y coordinate. For example, for point D(1,3), the transformed coordinate would become D'(1, 3*1/3) = D'(1,1). If you look at it visually, the point doesn't move horizontally, only vertically.

Answer:

The graph compressed vertically by factor 3.

Step-by-step explanation:

From the given figure it is clear that the vertices of triangle DEF are D(1,3), E(3,-3) and F(-3,-3).

The given rule of transformation is

[tex](x,y)\rightarrow (x,\frac{1}{3}y)[/tex]

The vertices after transformation are

[tex]D(1,3)\rightarrow D'(1,1)[/tex]

[tex]E(3,-3)\rightarrow E'(3,-1)[/tex]

[tex]F(-3,-3)\rightarrow F'(-3,-1)[/tex]

The graph of image is shown below.

Therefore the graph compressed vertically by factor 3.

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