Solution:
The question asks for the image of the point (6, 12) after a dilation by a scale factor of 3, centered at the origin.Dilation is a transformation that produces an image that is the same shape as the original, but is a different size. When the center of dilation is the origin (0, 0), you can find the image of a point by multiplying the coordinates of the original point by the scale factor.Given the point (6, 12) and a scale factor of 3, the image is found by multiplying both coordinates by 3:Image of (6, 12) = (6 * 3, 12 * 3) = (18, 36).So, the image of the point (6, 12) after a dilation by a scale factor of 3, centered at the origin, is (18, 36).