Idon't really know how to graph translations can anyone me?

A' will be the new value of A

ok, so the original points are
A=(-4,4)
B=(0,4)
C=(1,2)
D=(-3,2)

(x,y)
x is how far to right and y is how far up
movement left is minus x
movement down is minus y

so 4 right and 1 down
add 4 to every x and minus 1 from every y

A=(-4,4) becomes (0,3)
B=(0,4) becomes (4,3)
C=(1,2) becomes (5,1)
D=(-3,2) becomes (1,1)

A'=(0,3)
B'=(4,3)
C'=(5,1)
D'=(1,1)

The solution to the system of equations (-2,2)