Identify the point that applies a rotation function mapping for P in a 270-degree counterclockwise rotation about the origin.

Question

(1 point)
A 270-degree counterclockwise rotation about the origin will plot P' at point

Answer 1

To find the coordinates of point \( P' \) after a 270-degree counterclockwise rotation about the origin, we can use the rotation transformation rules.

For a point \( P(x, y) \):

1. A 90-degree counterclockwise rotation transforms it to \( (-y, x) \).
2. A 180-degree rotation transforms it to \( (-x, -y) \).
3. A 270-degree counterclockwise rotation (which is equivalent to a 90-degree clockwise rotation) transforms it to \( (y, -x) \).

Therefore, if \( P \) is at the coordinates \( (x, y) \), after a 270-degree counterclockwise rotation, the new coordinates \( P' \) would be:

\[ P' = (y, -x) \]

So, if you provide the specific coordinates of point \( P \), I can give you the exact coordinates of point \( P' \).