Question

answer attempt 2 out of 2 a rotation of 90° clockwise about the origin followed by a translation down unit(s).

Explanation:

Step1: Analyze rotation

For a 90 - degree clock - wise rotation about the origin, the transformation rule for a point $(x,y)$ is $(x,y)\to(y, - x)$. This rotates the figure in the coordinate plane.

Step2: Analyze translation

After rotation, to move the figure from its rotated position to the position of Figure B, we observe the vertical displacement. By comparing the positions of corresponding points of Figure A and Figure B after rotation, we find that it needs to be moved down. Counting the number of grid units between the corresponding points of the rotated Figure A and Figure B in the vertical direction, we find it is 4 units.

Answer:

A rotation of 90° clockwise about the origin followed by a translation down 4 unit(s).