https://file.aiquickdraw.com/mathbot/file/1726584710141rwaif460.jpg

The image provides a transformation rule, specifically for a **90° clockwise or 270° counterclockwise rotation** around the origin. The formula for the transformation is:

\[
(x, y) \rightarrow (y, -x)
\]

The question involves determining the new coordinates of point \( A \) after applying this transformation.

From the graph:

- Point \( A \) has the coordinates \( (1, 4) \).

Applying the transformation rule \( (x, y) \rightarrow (y, -x) \):

- \( (1, 4) \rightarrow (4, -1) \).

Thus, the correct answer is **Option A: (4, -1)**.

Would you like any further details or have any questions?

### Related questions:
1. What are the new coordinates of point B after a 90° clockwise rotation?
2. How does the transformation formula change for a 180° rotation?
3. How can you apply this rotation in real-world applications?
4. What is the formula for a 90° counterclockwise rotation?
5. Can a 270° counterclockwise rotation be considered equivalent to a 90° clockwise rotation?

**Tip:** Always double-check the orientation of the axes when performing coordinate transformations!

What are the new coordinates of point A after a 90° clockwise or 270° counterclockwise rotation around the origin?

Learn how to find the new coordinates of a point after a 90° clockwise or 270° counterclockwise rotation using the formula (x, y) -> (y, -x). This guide covers key concepts in coordinate geometry and rotation transformations. Suitable for students in Grades 8-10.

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