To determine the function mappings that correspond to a 90° counterclockwise rotation of a figure around the origin, we can use the following transformation for the coordinates of a point \( (x, y) \):
After a 90° counterclockwise rotation about the origin, the new coordinates \( (x', y') \) are given by:
\[ (x', y') = (-y, x) \]
Thus, the function mapping for a point \( (x, y) \) can be expressed as:
\[ f(x, y) = (-y, x) \]
If you have multiple options to consider, look for a mapping that describes this transformation. If a specific function mapping is provided, we can identify the correct one by comparing it to this transformation.
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