Respuesta :

Answer: Second option.

Step-by-step explanation:

Given the transformation [tex]T:(x,y)[/tex]→[tex](x+3,y+1)[/tex] for the ordered pair (4,3), you can find the preimage point through this procedure:

1) Find the x-coordinate of the preimage point. You know that:

[tex]x+3=4[/tex]

So you must solve for "x":

 [tex]x=4-3\\x=1[/tex]

2) Find the y-coordinate of the preimage point. You know that:

[tex]y+1=3[/tex]

So you must solve for "y":

 [tex]y=3-1\\y=2[/tex]

Therefore, the preimage point is: (1,2)