Transformations
We are given the coordinates of point A=(-1,4).
A transformation (x-4,y+1) is applied. This means the x-coordinate is subtracted 4 and the y-coordinate is added 1 to get the point A' = (-1-4,4+1) = (-5, 5)
Now it's required to reflect A' over y=4
The vertical distance from the point to y=4 is 5-4 = 1.
Thus, we subtract 2*1 = 2 to the y-coordinate to get A'' = (-5,5-2) = (-5,3)
The final coordinates of the original point are (-5,3)