Answer:
The correct option is 2.
Explanation:
If a figure dilated by a scale factor of k with a center of dilation at the origin, then the dilation rule is defined as

It is given that segment has been dilated by a scale factor of 1/4 with a center of dilation at the origin. So,

From the given graph it is clear that the coordinates of point A are (4,-8).So, the image of point A is,


The image of point A is at (1,-2). Therefore the correct option is 2.