Answer: second option.
Step-by-step explanation:
Given the transformation [tex]T:(x,y)[/tex]→[tex](x+3,y+1)[/tex]
You must substitute the x-coordinate of the point B [tex]x=4[/tex]) and the y-coordinate of the point B [tex]y=1[/tex]) into [tex](x+3,y+1)[/tex] to find the x-coordinate and the y-coordinate of the image of the point B.
Therefore, the image of B(4,1) is the following:
[tex](x+3,y+1)=(4+3,1+1)=(7,2)[/tex]
You can observe that this matches with the second option.
