What occurs if the scale factor of the enlargement is negative?

When the scale factor of an enlargement is negative, it not only changes the size of the shape but also reflects it across the center of enlargement. Essentially, each point on the original shape is moved to the opposite side of the center of enlargement, maintaining the same distance but inverting its position. This process of moving the shape to the other side of the center is why the idea of the shape coming out on the other side is correct.

For instance, if a point on the shape is a certain distance from the center of enlargement, using a negative scale factor means that the corresponding point on the image will be the same distance from the center but in the opposite direction. This results in an inversion, creating a reflection while simultaneously scaling the size depending on the absolute value of the scale factor. Therefore, the shape indeed comes out the other side of the enlargement center when the scale factor is negative.