Question

Square ABCD was translated using the rule (x, y) → (x – 4, y + 15) to form A'B'C'D'. What are the coordinates of point D in the pre-image if the coordinates of point D’ in the image are (9, –8)?

a) (13, –23)
b) (5, 7)
c) (18, 1)
d) (–6, –4)

Answer 1

The correct answer is B.

Answer 2

The translation is (x-4, y+15)

This means you would subtract 4 from the X coordinate and add 15 to the y coordinate.
The original coordinates is (9,-8)

The first number is X and the 2nd number is Y.

9-4 = 5

-8+15 = 7

The new location would be (5,7)

The answer is B.