Hello!
First of all let's look at points L and L'. The coordinates for L are (-5,-4) and the coordinates for L' are at (0,3).
First of all let's think about the vertical translation. This is the change in the y-axis. As you can see, the difference of 3 and -4 is 7. This means there was a vertical translation of 7, or it was moved up 7 units.
Now we have the horizontal translation, or the change in the x-axis. The difference of -5 and 0 is 5. Therefore it had a horizontal translation of 5.
(-5,-4)⇒(0,3) was translate up 7 units and translated right 5 units.
I hope this helps!