Sam, let's find the current location of the three vertices of the triangle:
Y = (-5, 1), Correct?
G = (-4, 2), Correct?
F = (-5, 4), Correct?
Now all what you have to do is to follow the rule of translation:
![(x\text{ + 4, y - 1)}](https://img.qammunity.org/2023/formulas/mathematics/college/xdjhx4chpq9peksp4olcwacudz73y3c4xf.png)
Therefore:
Y' = (-5 + 4, 1 - 1)
Y' = (-1 , 0)