Square GYTD has vertices G(-4,3), Y (0,3), T (0,-1) and D (-4, -1) square GYTD is translated 2 units left and 2 units up to produce square G'YT'D' which coordinates describe the vertices of the image?

ANSWER:
G’(-6,5) Y’(-2,5) T’(-2,1) D’(-6,1)

WORK OUTS:
G’=(-4-2,3+2)=(-6,5)
Y’=(0-2,3+5)=(-2,5)
T’=(0-2,-1+2)=(-2,1)
D’=(-4-2,-1+2)=(-6,1)

EXPLANATION:
Because the translation is 2 units to the left, which makes it -2(going to the right is positive and the left is negative). Then you will subtract 2 from each x value because translating right and left effects the x value of the coordinates.
You were also given that the translation is 2 units upwards ( going upwards is positive and downwards is negative) therefore the 2 will stay positive. Then you will add 2 to each y value because translating up and down effects the y value of the coordinates.