Question

1. rotate point p 90° counterclockwise about the origin.

Explanation:

1. Recall the rotation rule for a 90 - degree counter - clockwise rotation about the origin:

• The rule for rotating a point \((x,y)\) 90 degrees counter - clockwise about the origin is \((x,y)\to(-y,x)\).
• However, we need to first identify the coordinates of point \(P\). From the graph, assume the coordinates of point \(P\) are \((3, - 2)\).

1. Apply the rotation rule:

• Using the rule \((x,y)\to(-y,x)\), when \(x = 3\) and \(y=-2\), we substitute \(y=-2\) into \(-y\) and \(x = 3\) into \(x\) in the new - coordinate pair.
• \(-y=-(-2)=2\) and \(x = 3\).
• So the new coordinates of the rotated point are \((2,3)\).

Answer:

The coordinates of the point \(P\) after a 90 - degree counter - clockwise rotation about the origin are \((2,3)\).