Question

If the point of the preimage is (5,2) and the point of the image is (1,2), what RULE was applied to the preimage to obtain the image?
A) (x, y + 4)
B) (x + 4, y)
C) (x - 4, y)
D) (x, y - 4)

Answer 1

Answer: Choice C)  (x-4, y)

Explanation:

We have x = 5 turn into x = 1. We need to subtract 4 from the x coordinate to get this. Therefore x turns into x-4.

The y coordinate stays at y = 2 the entire time, so y isn't altered. We have y map to y.

Overall, the rule is $(x,y) \to (x-4, y)$ which translates the point 4 units to the left.