1) Considering the starting point at the origin (0,0), and translating 4 units to the left so it is (-4) and 1 unit up
Pre image Rule Image
(0,0) (0 -4, 0+1) ( -4, 1)
2) Visualizing it we have this translation below:
So this is the result of translating point A in the origin, 4 units left and 1 unit up.
And point (-4,3) labeled