Given that the image point has coordinates B'(7,-4).
The coordinates of its preimage if the translation used was [tex](x+4,y+5)[/tex]
We need to determine the coordinates of the preimage.
The coordinates of the preimage:
The coordinates of the preimage of the point B' can be determined by substituting the points of B' in the translation.
Thus, we get;
[tex]B'(x,y)\rightarrow B(x+4,y+5)[/tex]
Substituting the coordinates, we have;
[tex]B'(7,-4) \rightarrow B(7+4,-4+5)[/tex]
Simplifying, we get;
[tex]B'(7,-4) \rightarrow B(11,1)[/tex]
Therefore, the coordinates of the preimage is B(11,1)
Hence, Option A is the correct answer.
