A dilation has center (0, 0 ,0). Find the image of the point (-1, -2, 0) for the scale factor of 3.
I'm not sure how to do this.
Never mind. Reiny helped me!!
To find the image of a point under a dilation, you need to multiply the coordinates of the original point by the scale factor.
In this case, the center of the dilation is (0, 0, 0), and the original point is (-1, -2, 0). The scale factor is 3.
To find the image, you need to multiply each coordinate of the original point by the scale factor. Let's do that now:
For the x-coordinate:
Image x-coordinate = (-1) * 3 = -3
For the y-coordinate:
Image y-coordinate = (-2) * 3 = -6
For the z-coordinate:
Image z-coordinate = 0 * 3 = 0
Putting it all together, the image of the point (-1, -2, 0) under a dilation with a scale factor of 3 and center (0, 0, 0) is (-3, -6, 0).