Find the coordinates of the image after a translation of the figure below using (x, y) (x + 3, y + 2). a'( a1, a2) b'( a3, a4) c'( a5, a6) d'( a7, a8)

You have not provided the coordinates of the original points, therefore, I cannot give exact answers.
However, I can help you with the concept.

We are given that the translation rule here is:
(x,y) > (x+3 , y+2)

This means that:
x coordinate of the translated point can be obtained by adding 3 to the x coordinate of the original point
y coordinate of the translated point can be obtained by adding 2 to the y coordinate of the original point

Examples:
point (2,3) after translation would become (2+3 , 3+2) which is (5,5)
point (-1,0) after translation would become (-1+3 , 0+2) which is (2,2)

Hope this helps :)