Question

identify the rotation function mapping used to turn a(-7,4) to a(-4,-7) (1 point)
(x,y)→(-x,-y)
(x,y)→(-y,x)
(x,y)→(y,-x)
(x,y)→(-y,-x)

Explanation:

Step1: Check each transformation rule

For the point \(A(-7,4)\), we test each option.

Step2: Test option \((x,y)\to(-y,x)\)

Substitute \(x = - 7\) and \(y = 4\) into \((x,y)\to(-y,x)\). We get \(-y=-4\) and \(x=-7\), so the new - point is \((-4,-7)\) which is \(A'\).

Answer:

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