Plot the image of point D under a dilation about the origin (0,0) with a scale factor of 3.

D'(-6, 0) is the image of point D(-2, 0) under a dilation about the origin (0,0) with a scale factor of 3, as shown in attache figure below.

Please check the attache graph below where you can check the plot of the image D' of point D.

Step-by-step explanation:

As the point D on the coordinate plane has the vertex location

The rule of dilation about the origin (0,0) with a scale factor of 3:

The rule states that if we dilate the point, let say D(-2, 0), under a dilation about the origin (0,0) with a scale factor of 3, all we need to multiple the coordinates of the point D with 3. The result will be the image of point D.

so

Therefore, the image of point D under a dilation about the origin (0,0) with a scale factor of 3 can be plotted at the location D'(-6, 0).

So the new location of  D' is (-6, 0).

D'(-6, 0) is the image of point D(-2, 0) under a dilation about the origin (0,0) with a scale factor of 3, as shown in attache figure below.

Please check the attache graph below where you can check the plot of the image D' of point D.

828. all there is to it!

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step-by-step explanation: