Question

If the domain (or pre-image) is (-4, -2), (5, 9), (-6, 2) and the range (or image) is

(-2, 4), (9,-5), (2, 6), what rotation was applied?

Answer 1

Answer: 90 degrees clockwise

This is equivalent to 270 degrees counterclockwise

The rule for either rotation is
`(x,y) \to (y,-x)`

The x and y coordinates swap places, and the new second coordinate flips from positive to negative (or vice versa).

The diagram below shows an example of this for the point (-4,-2) rotating to (-2, 4). The center of the rotation is the origin (0,0).