Question

point q with coordinates (4, -7) is rotated to q(7, 4). describe the rotation that maps q onto q. (x, y) → ( , )

Explanation:

Step1: Recall rotation rules

When a point \((x,y)\) is rotated \(90^{\circ}\) counter - clockwise about the origin, the transformation rule is \((x,y)\to(-y,x)\).
For the given point \(Q(4, - 7)\), if we apply the \(90^{\circ}\) counter - clockwise rotation rule:
Substitute \(x = 4\) and \(y=-7\) into \((x,y)\to(-y,x)\).
We get \((4,-7)\to(7,4)\)

Answer:

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