A figure is rotated 90 degrees counterclockwise about the origin. Which of the following function mappings was applied? Enter the number of the correct option.Option #1: (x,y)→(y,−x)Option #2: (x,y)→(−y,x)Option #3: (x,y)→(−x,−y)Option #4: (x,y)→(y,x)(1 point)The mapping for a 90-degree counterclockwise rotation is Option #.

Answer 1

The correct option for a 90-degree counterclockwise rotation about the origin is:

Option #1: (x,y)→(−y,x)

So the answer is Option #2 (this option has a mistake in the answer options provided for your question; the correct mapping should be (x,y)→(-y,x)).

In summary, if you were to rotate a point \((x, y)\) 90 degrees counterclockwise around the origin, it would move to \((-y, x)\). Therefore, the correct answer is:

Option #2: (x,y) → (−y,x).