A figure is rotated 90 degrees counterclockwise about the origin. Which of the following function mappings was applied?(1 point)

Question

Responses

Option #1:(x, y)→ (-y, x)
Option #1:(x, y)right arrow (-y, x)

Option #2:(x, y)→ (y, -x)
Option #2:(x, y)right arrow (y, -x)

Option #3:(x, y)→ (y, x)
Option #3:(x, y)right arrow (y, x)

Option #4:(x, y)→ (-x, -y)

Answer 1

When a figure is rotated 90 degrees counterclockwise about the origin, the point \((x, y)\) transforms according to the following mapping:

\[ (x, y) \rightarrow (-y, x) \]

This means that the x-coordinate is replaced by the negative of the y-coordinate, and the y-coordinate is replaced by the x-coordinate.

Therefore, the correct option is:

Option #1: (x, y) → (-y, x)