Question

A figure is rotated 90 degrees counterclockwise about the origin. Which of the following function mappings was applied? (1 point)

(xy)-(-x)

(x,y)(y. x)

(x,y)(x, y)

(xy)(y-x)

Answer 1

To determine which mapping corresponds to a 90-degree counterclockwise rotation about the origin, let's analyze the transformations.

A 90-degree counterclockwise rotation converts a point \((x, y)\) into the point \((-y, x)\).

Now, let's examine each of the proposed mappings:

1. **(xy) - (-x)**: This does not represent a transformation of points \((x, y)\). Instead, it seems to describe a mathematical expression.

2. **(x, y) → (y, x)**: This mapping simply swaps the coordinates but does not account for the rotation. Therefore, this is not the correct transformation.

3. **(x, y) → (x, y)**: This represents no change at all. Clearly, it is not the transformation we are looking for.

4. **(xy)(y - x)**: Similar to option 1, this does not represent a standard transformation of coordinates but looks more like an expression as well.

From the options you provided, it appears none of them correctly provide the transformation for a 90-degree counterclockwise rotation about the origin. The correct transformation would be \((x, y) \to (-y, x)\).

If you meant to include that option or need something specific within the selections provided, please check again.