Answer:
(x', y') = (1, -1)
Step by step explanation:
To find the image of the point (4, -4) after a scale factor of 1/4 centered at the origin, we need to multiply both coordinates of the point by the scale factor. This will give us the new coordinates of the point after scaling.
The formula for scaling a point (x, y) by a scale factor k centered at the origin is:
(x', y') = (kx, ky)
In this case, the scale factor is 1/4, so we have:
(x', y') = (1/4 * 4, 1/4 * -4) = (1, -1)
Therefore, the image of the point (4, -4) after scaling by a factor of 1/4 centered at the origin is (1, -1).