Question

a rotation that turns a shape 90 degrees counterclockwise will move a point (x, y) to. reflecting a point over the y - axis changes the sign of its coordinate. when performing a dilation, each coordinate is multiplied by a factor.

Explanation:

Step1: Recall 90 - degree counter - clockwise rotation rule

For a 90 - degree counter - clockwise rotation of a point \((x,y)\) in the coordinate plane, the new coordinates are \((-y,x)\).

Step2: Recall y - axis reflection rule

When reflecting a point \((x,y)\) over the y - axis, the x - coordinate changes sign. So the new point is \((-x,y)\).

Step3: Recall dilation rule

In a dilation centered at the origin with a scale factor \(k\), a point \((x,y)\) is transformed to \((kx,ky)\), where each coordinate is multiplied by the scale factor.

Answer:

1. \((-y,x)\)
2. \(x\)
3. scale