Which of the following mappings is used for a 270-degree (counterclockwise) rotation?(1 point)

Question

Responses

(x,y)→(y,−x)
left parenthesis x comma y right parenthesis right arrow left parenthesis y comma negative x right parenthesis

(x,y)→(−y,−x)
left parenthesis x comma y right parenthesis right arrow left parenthesis negative y comma negative x right parenthesis

(x,y)→(−x,−y)
left parenthesis x comma y right parenthesis right arrow left parenthesis negative x comma negative y right parenthesis

(x,y)→(−y,x)

Answer 1

A 270-degree counterclockwise rotation can be represented by the mapping \((x, y) \to (-y, x)\).

So the correct answer is:

\((x, y) \to (-y, x)\)