What is the image of point (4, -2) after a dilation of 3?

(12,-6)

Step-by-step explanation:

When dilating points, you multiply both coordinates (x and y) by the scale factor.

The point we are given is: (4,-2) and the scale factor is 3.

Multiply each coordinate by the scale factor of 3.

X-coordinate: 4

     4* 3= 12

New X-coordinate: 12

Y-coordinate : -2

    -2 * 3= -6

New Y-coordinate: -6

Our new x-coordinate is 12 and y-coordinate is -6. Therefore, our point is (12,-6). So, the image of point (4,-2) after a dilation of 3 is (12, -6).

c. (3,2,6) is the answer.