Answer:
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:
[tex]A(1,1)\rightarrow (1-3,1+4)=A'(-2,5)[/tex]
Therefore, the coordinates of A' will be (-2,5) and option A is the correct choice.