Question
A figure is rotated 90 degrees counterclockwise about the origin. Which of the following function mappings was applied
Answers
GPT-4o mini
When a point \((x, y)\) in the Cartesian plane is rotated 90 degrees counterclockwise about the origin, the new coordinates \((x', y')\) can be determined by the following transformation:
\[
(x', y') = (-y, x)
\]
This means that the \(x\)-coordinate of the original point becomes the negative of the \(y\)-coordinate, and the \(y\)-coordinate of the original point becomes the \(x\)-coordinate.
If you're looking for a specific function mapping that represents this transformation, it would be expressed as:
\[
T(x, y) = (-y, x)
\]
If you have multiple choices or specific functions in mind, please provide them, and I can help identify which one corresponds to the 90 degrees counterclockwise rotation.
\[
(x', y') = (-y, x)
\]
This means that the \(x\)-coordinate of the original point becomes the negative of the \(y\)-coordinate, and the \(y\)-coordinate of the original point becomes the \(x\)-coordinate.
If you're looking for a specific function mapping that represents this transformation, it would be expressed as:
\[
T(x, y) = (-y, x)
\]
If you have multiple choices or specific functions in mind, please provide them, and I can help identify which one corresponds to the 90 degrees counterclockwise rotation.