Answer:
(x - 5, y - 7)
Step-by-step explanation:
A translation is a type of transformation that moves a figure up, down, left or right but does not change its appearance in any other way.
The pre-image is the original figure prior to transformation, so in this case the pre-image is the green arrow PQRSTUV.
The image is the result of a transformation, so in this case the image is the red arrow P'Q'R'S'T'U'V'.
To determine the series of translations that takes the pre-image to the image, choose one point on the pre-image and compare with its corresponding point on the image:
Subtract the x and y values of the pre-image from the x and y values of the image:
- translation of x-value: -3 - 2 = -5
- translation of y-value: -5 - 2 = -7
Therefore, the translation that moves the pre-image to the image is:
⇒ 5 units to the left, 7 units down.
Learn more about translations here:
https://brainly.com/question/27743837
