Respuesta :
To find the pre image you need to back track on the image. To get to the image you used (x-6,y+8). Now you need to use the exact opposite to get back to the pre image. For this you would change the signs to look like (x+6,y-8). Now we just apply this to (-4,1).
(-4+6,1-8)
(2,-7) should be the pre image point.
rule (x,y)(x-6,y+8)
(-4,1):
Preimage: x = -4 + 6 = 2 and y = 1 - 8 = -7
Answer
Pre image (2 , -7)