Hi!
The correct answer is the second one, B. S'(-4, 7), T'(-7, 0), U'(-1, 0)
Step-by-step explanation:
Because the triangle is translated right 2 units and 3 units down, that means that the x coordinates are translating right 2 units, and the y coordinates are translating down 3 units, which means, to the original x coordinates we will add 2 (because it's going right, in positive way), and we will subtract 3 from the original y coordinates (because it's going down, in negative way), like so:
S(-6, 10) = S'(-6+2, 10-3) = S'(-4, 7)
T(-9, 3) = T'(-9+2, 3-3) = T'(-7, 0)
U(-3, 3) = U'(-3+2, 3-3) = U'(-1, 0)
Hope this helps!