Question
A figure is rotated 90 degrees counterclockwise about the origin. Which of the following function mappings was applied? (1 point)
Responses
(x,y)→(y, −x)
(x,y)→(y, −x)
(x,y)→(-y ,x)
(x,y)→(-y ,x)
(x,y)→(y, x)
(x,y)→(y, x)
(x,y)→(-x, y)
Responses
(x,y)→(y, −x)
(x,y)→(y, −x)
(x,y)→(-y ,x)
(x,y)→(-y ,x)
(x,y)→(y, x)
(x,y)→(y, x)
(x,y)→(-x, y)
Answers
GPT-4o mini
When a point \((x, y)\) is rotated 90 degrees counterclockwise about the origin, the new coordinates become \((-y, x)\).
However, from the given options, the rotation 90 degrees counterclockwise can be represented by:
\((x, y) \rightarrow (-y, x)\)
Therefore, the correct function mapping for a 90-degree counterclockwise rotation about the origin is:
\((x,y) \rightarrow (-y, x)\)
However, from the given options, the rotation 90 degrees counterclockwise can be represented by:
\((x, y) \rightarrow (-y, x)\)
Therefore, the correct function mapping for a 90-degree counterclockwise rotation about the origin is:
\((x,y) \rightarrow (-y, x)\)