Write a rule to describe the translation. (click on image to enlarge)
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 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).
To determine the rule that describes the translation, you need to analyze the transformation between the original points and their corresponding translated points.
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.
To describe the translation, we need to determine the change in x-coordinates (horizontal movement) and the change in y-coordinates (vertical movement).
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)