Answer:
(12,-6)
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).