Figure abc is to be translated to figure a'b'c' using the rule (x, y) → (x−3, y+4).

which coordinates will best represent point a'?

a. (−2, 5)
b.(4, −3)
c. (−2, −3)
d. (4, 5)

(-2,5)

Explanation:
We are given the following translation rule:
(x,y) > (x-3 , y+4)
This means that:
new x coordinate can be found by subtracting 3 from the old x coordinate
new y coordinate can be found by adding 4 to the old y coordinate

From the figure, we can note that the coordinates of point A are (1,1).

Applying the above translation rule, we can get the coordinates of A' as follows:
x coordinate of A' = x coordinate of A - 3
x coordinate of A' = 1 - 3 = -2

y coordinate of A' = y coordinate of A + 4
y coordinate of A' = 1 + 4 = 5

Based on the above, the coordinates of A' would be (-2,5)

Hope this helps :)