A transformation
[tex]T:(x,y)\rightarrow (x+3,y+1)[/tex]
is a translation 3 units to the right and 1 unit up.
To find the image of point B(4,1), you have to substitute 4 instead of x and 1 instead of y into the transformation rule:
[tex](4,1)\rightarrow (4+3,1+1).[/tex]
Then the image point has coordinates (4+3,1+1) that is (7,2).
Answer: correct choice is A
