Question
The rotation function mapping for a 90-degree clockwise rotation about the origin is equivalent to which other transformation mapping?(1 point)
Answers
GPT-4o mini
The rotation function mapping for a 90-degree clockwise rotation about the origin can be represented by the transformation of coordinates from \((x, y)\) to \((y, -x)\). This means that for a point \((x, y)\):
\[
(x, y) \rightarrow (y, -x)
\]
This transformation effectively switches the x and y coordinates and negates the new x coordinate, resulting in a 90-degree clockwise rotation about the origin.
\[
(x, y) \rightarrow (y, -x)
\]
This transformation effectively switches the x and y coordinates and negates the new x coordinate, resulting in a 90-degree clockwise rotation about the origin.