A dilation has center (0, 0 ,0). Find the image of the point (-1, -2, 0) for the scale factor of 3.

Please help!

(x,y,z) ---->(3x,3y,3z)

so (-1,-2,0) ---> .......

Thanks Reiny!

To find the image of a point after a dilation, you need to multiply each coordinate of the point by the scale factor.

In this case, the dilation has a center at (0, 0, 0) and a scale factor of 3. To find the image of the point (-1, -2, 0), you need to multiply each coordinate by 3.

For the x-coordinate: (-1) * 3 = -3
For the y-coordinate: (-2) * 3 = -6
For the z-coordinate: 0 * 3 = 0

Therefore, the image of the point (-1, -2, 0) after the dilation with a scale factor of 3 and a center at (0, 0, 0) is (-3, -6, 0).