Question

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

Answer 1

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 2

The graph compressed vertically by factor 3.

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

`(x,y)\rightarrow (x,(1)/(3)y)`

The vertices after transformation are

`D(1,3)\rightarrow D'(1,1)`

`E(3,-3)\rightarrow E'(3,-1)`

`F(-3,-3)\rightarrow F'(-3,-1)`

The graph of image is shown below.

Therefore the graph compressed vertically by factor 3.