The options of the question are the points

Step 1
Find the rule of the translation of the pre-image to the image
we know that
the point S has coordinates of

the point S' has coordinates of

so
a) the rule of the translation of the pre-image to the image is

that means
the translation is
units to the left and
units up
Step 2
Find the inverse rule of the translation of the image to the pre-image
a) the inverse rule of the translation of the image to the pre-image is
that means
the translation is
units to the right and
units down
Step 3
Find the coordinates of the vertices of the pre-image
Applying the inverse rule of the translation of the image to the pre-image
a) Point

b) Point

c) Point

Step 4
Using a graphing tool
graph the points of the pre-image and the points A,B,C and D to determine the solution of the problem
we have


see the attached figure
therefore
the answer is
