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