Final answer:
The image of the coordinate point (2, 3) after a 270-degree counterclockwise rotation around the origin is (3, -2). This is found by switching the x and y coordinates and changing the sign of the new x-coordinate.
Step-by-step explanation:
The student is asking about the image of a coordinate point after a 270-degree rotation. Rotation in mathematics refers to turning a figure or point around a fixed point, known as the center of rotation. To find the image of a point after a 270-degree rotation (counter-clockwise) around the origin (0,0), you can apply a specific rule or use the following steps:
- For a 270-degree counterclockwise rotation, switch the x and y coordinates of the point.
- Change the sign of the new x-coordinate (which was the original y-coordinate).
Using this method, the image of the point (2, 3) after a 270-degree rotation around the origin will be (3, -2)