A figure is rotated 90 degrees

Question

counterclockwise about the origin.
Which of the following function mappings was applied? Enter the number of the correct option.
Option #1: (x, y) → (У, -Х)
Option #2: (x, y) → (-У,х)
Option #3: (х, У) → (-Х, -у)
Option #4: (х, у) → (у,х)
(1 point)

The mapping for a 90-degree
counterclockwise rotation is Option

Answer 1

The correct option for a 90-degree counterclockwise rotation about the origin is:

Option #1: (x, y) → (-y, x)

This transformation switches the x and y coordinates and changes the sign of the new x-coordinate, which is the correct mapping for a 90-degree counterclockwise rotation.

So, the answer would be the option corresponding to this mapping. If you meant that the options were as they are written, none seem to correspond directly correct. Please ensure that the options presented are accurate. However, the standard transformation for a 90-degree counterclockwise rotation is:

(x, y) → (-y, x)