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

(02.01 mc)
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'? (4 points)

(−2, 5)

(4, −3)

(−2, −3)

(4, 5)

A. (-2,5)  

Step-by-step explanation:

We have been given an image of a triangle ABC on coordinate plane. Figure ABC is to be translated to Figure A'B'C' using the rule (x, y) → (x−3, y+4).  

The given translation rule states that we need to shift x-coordinates of ABC by 3 units to the left and y coordinates by 4 units upwards to get the coordinates of A'B'C'.  

We can see that the coordinates of point A are (1,1), so after applying the given translation rule coordinates of A' will be:

Therefore, the coordinates of A' will be (-2,5) and option A is the correct choice.