Question

a figure is rotates 90 degrees counterclockwise about the origin. which of the following function mappings was applied?
A. (x,y) ----> (y, -x)
B. (x,y) ----> (-y,x)
C. (x,y) ----> (-x, -y)
D. (x,y) ----> (y,x)

Answer 1

To determine the correct function mapping for a 90-degree counterclockwise rotation about the origin, we can analyze how the coordinates of a point change under this transformation:

1. A point (x, y) after a 90-degree counterclockwise rotation about the origin will move to the point (-y, x). This can be understood by visualizing the coordinate plane and how each point shifts.

Given the provided function mappings:

A. (x,y) ----> (y, -x)
B. (x,y) ----> (-y,x)
C. (x,y) ----> (-x, -y)
D. (x,y) ----> (y,x)

The correct mapping corresponding to a 90-degree counterclockwise rotation about the origin is:

**B. (x, y) ----> (-y, x)**.