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

Question

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)

Answer 1

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:

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