The correct answer is B.
The rule to describe the translation is: (x, y) --> (x - 7, y + 5).
This means that each point is translated 7 units to the left (in the x-direction) and 5 units upwards (in the y-direction).
A.
(x, y) --> (x + 7, y - 5)
B.
(x, y) --> (x - 7, y + 5)
C.
(x, y) --> (x + 5, y - 7)
D.
(x, y) --> (x - 5, y + 7)
The rule to describe the translation is: (x, y) --> (x - 7, y + 5).
This means that each point is translated 7 units to the left (in the x-direction) and 5 units upwards (in the y-direction).
In this case, the original points are shifted horizontally and vertically. Let's consider the x-coordinate and the y-coordinate separately.
Looking at option A: (x, y) → (x + 7, y - 5)
This option suggests that the x-coordinate is shifted to the right by 7 units and the y-coordinate is shifted downwards by 5 units.
Looking at option B: (x, y) → (x - 7, y + 5)
This option suggests that the x-coordinate is shifted to the left by 7 units and the y-coordinate is shifted upwards by 5 units.
Looking at option C: (x, y) → (x + 5, y - 7)
This option suggests that the x-coordinate is shifted to the right by 5 units and the y-coordinate is shifted downwards by 7 units.
Looking at option D: (x, y) → (x - 5, y + 7)
This option suggests that the x-coordinate is shifted to the left by 5 units and the y-coordinate is shifted upwards by 7 units.
By comparing the given options to the original image, you would need to choose the option that accurately describes the given translation.
Looking at the image, we can see that the image has been shifted 7 units to the right and 5 units downward.
Therefore, the correct rule to describe the translation is:
A. (x, y) --> (x + 7, y - 5)