Answer:
We are given a pre-image now it is given that the pre-image is translated 3 units right and 6 units up so the change or the rule of the transformation in the coordinates is given by:
(x,y) → (x+3,y+6)
We are given the vertices of the pre-image are:
(-5,-4) , (-1,-6) and (1,-3)
Hence, the transformed image has the vertices aS:
(-5,-4) → (-5+3,-4+6)=(-2,2)
(-1,-6) → (-1+3,-6+6)=(2,0)
and (1,-3) → (1+3,-3+6)=(4,3)
so, the image after translation of the pre-image has vertices:
(-2,2) , (2,0) and (4,3)