Figure ii is a translation image of figure i. write a rule to describe the translation.

the translation rule is (x, y)→(x+ __ , y+ __ )

In order to get Figure II, Figure I has only been moved.
It hasn't been rotated or reflected, or any of that weird stuff.

In order to move any vertex from its position in Fig-I
to its position in Fig-II, you have to move it 2 units left
and 4 units up.  That will take any point from Fig-I and
put it right where it belongs in Fig-II.

Well OK.  If you have a point with the coordinates  (A, B), then

-- What do you need to do to 'A' to move the point 2 units left ?
   You need to subtract 2 from A .

-- What do you need to do to 'B' to move the point 4 units up ?
    You need to add 4 to B .

So, in order to take Fig-I and move it 2 units left and 4 units up,
to where it can lay right on top of Fig-II,

         every 'x' has to become    x - 2

 and  every 'y' has to become    y + 4 .