Question

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)
(
𝑥
,
𝑦
)
→
(
𝑦
,
−
𝑥
)

Option #2: (x,y)→(−y,x)
(
𝑥
,
𝑦
)
→
(
−
𝑦
,
𝑥
)

Option #3: (x,y)→(−x,−y)
(
𝑥
,
𝑦
)
→
(
−
𝑥
,
−
𝑦
)

Option #4: (x,y)→(y,x)
(
𝑥
,
𝑦
)
→
(
𝑦
,
𝑥
)

(1 point)
The mapping for a 90-degree counterclockwise rotation is Option #

Answer 1

Option #2

Reason: A 90° counterclockwise rotation sends (x,y) to (−y,x) (e.g., (1,0)→(0,1), (0,1)→(−1,0)).