What is the image of (5, -7) after a dilation by a scale factor of 3 centered at the
origin?

The image of the point after the dilation is (15,-21).

Step-by-step explanation:

To find the image of a point after a dilation by a factor, we multiply each coordinate in the point by the factor.

In this question, we have that:

Point (5,-7)

Dilation by a scale factor of 3, centered at the origin. So, multiply by 3

5*3 = 15

-7*3 = -21

The image of the point after the dilation is (15,-21).