Question

If (x, y) ---> (x + 6, y - 4), find the pre-image of (9, -2). *

Answer 1

The coordinates of the pre-image of (9, -2) will be: (3, 2)

Explanation:

Given the translation rule:

(x, y) → (x + 6, y - 4)

This translation indicates that the image of the original object must have been determined by adding 6 units (moving right) to the x-coordinate and subtracting 4 units (moving down) to the y-coordinate.

Given the image

• (9, -2)

According to the translation rule (x, y) → (x + 6, y - 4)

(x, y) → (x + 6, y - 4)

Determining the x-coordinate of the pre-image:

x+6 = 9

x = 9-6

x = 3

Determining the y-coordinate of the pre-image:

y-4 = -2

y = -2+4

y = 2

Thus, the coordinates of the pre-image of (9, -2) will be: (3, 2)