Question
A figure is rotated 90 degrees counterclockwise about the origin. Which of the following function mappings was applied? (1 point)
Answers
GPT-4o mini
When a figure is rotated 90 degrees counterclockwise about the origin in a Cartesian coordinate system, the transformation applied to the coordinates \((x, y)\) of a point is given by the following function mapping:
\[
(x, y) \rightarrow (-y, x)
\]
This means that the x-coordinate becomes the negative of the original y-coordinate, and the y-coordinate becomes the original x-coordinate.
\[
(x, y) \rightarrow (-y, x)
\]
This means that the x-coordinate becomes the negative of the original y-coordinate, and the y-coordinate becomes the original x-coordinate.