Question

which transformation would take figure a to figure b? answer a clockwise rotation of 270 about the origin a clockwise rotation of 90 about the origin a reflection over the y - axis a reflection over the x - axis

Explanation:

Step1: Recall reflection rule

A reflection over the y - axis changes the sign of the x - coordinate of each point while keeping the y - coordinate the same.

Step2: Observe figure

In the given graph, Figure A and Figure B are mirror - images of each other across the y - axis. Points on Figure A and their corresponding points on Figure B have the same y - values but opposite x - values.

Step3: Analyze rotation rules

A 90 - degree clockwise rotation about the origin has the transformation rule $(x,y)\to(y, - x)$ and a 270 - degree clockwise rotation about the origin has the transformation rule $(x,y)\to(-y,x)$. These do not match the transformation from Figure A to Figure B. A reflection over the x - axis changes the sign of the y - coordinate, which is not the case here.

Answer:

A reflection over the y - axis