Question

which transformation would take figure a to figure b?

Explanation:

Step1: Analyze symmetry

Figure A and Figure B are mirror images across the y - axis. A reflection over the y - axis transforms a point \((x,y)\) to \((-x,y)\). By observing the coordinates of corresponding vertices of Figure A and Figure B, we can see that the x - coordinates are negated while the y - coordinates remain the same, which is the property of a reflection over the y - axis.

Step2: Confirm transformation

We can also check the shape and orientation. The shape of Figure A and Figure B is the same, and the orientation is mirrored with respect to the y - axis, which confirms that a reflection over the y - axis is the transformation that takes Figure A to Figure B.

Answer:

Reflection over the y - axis