The graphs of quadrilateral lmno and its image are shown below.

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!

╔═⋄═◇═◈═❖═✧═☆═✧═❖═◈═◇═⋄╗✧   ok, now this, is epic.╚═⋄═◇═◈═❖═✧═☆═✧═❖═◈═◇═⋄╝