If the image is A'B' we have, for the point A x=-5 goes to x = 3 ( a translation)
Its a translation of 8 to the right.
The same goes for point B the x coordinate goes 8 to the right.
The y coordinate for A translates 1 to -1 That is 2 units down
Same goes for B coordinate of y
Translation is 8 units to right and 2 down.
That looks like a translation; let's check. We have
A(-5,1), B(-3,7), A'(3,-1), B'(5,5)
If it's a translation by T(x,y) we'd have
A' = A + T
B' = B + T
so
T = A' - A = (3,-1) - (-5,1) = (8,-2)
and also
T = B' - B = (5, 5) - (-3, 7) = (8,-2)
They're the same so we've verified this transformation is a translation by (8,-2), eight right, two down.
