Dilation of a Point
The question is asking for the image of the point (6, -4) 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 dilating a point from the origin, you multiply each coordinate by the scale factor.
The original point is (6, -4), and the scale factor is 3, so you would multiply each coordinate of the point by 3:
The x-coordinate: 6 * 3 = 18
The y-coordinate: -4 * 3 = -12
So the image of the point (6, -4) after the dilation is (18, -12).
