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!