Question

figure b is the result of a transformation on figure a. which transformation would accomplish this? answer a reflection over the y -axis a reflection over the x -axis a rotation 90° clockwise about the origin a rotation 90° counterclockwise about the origin

Explanation:

Step1: Recall reflection rules

A reflection over the y - axis changes the sign of the x - coordinate of each point: $(x,y)\to(-x,y)$. A reflection over the x - axis changes the sign of the y - coordinate of each point: $(x,y)\to(x, - y)$. A 90° clock - wise rotation about the origin changes a point $(x,y)$ to $(y,-x)$ and a 90° counter - clockwise rotation about the origin changes a point $(x,y)$ to $(-y,x)$.

Step2: Analyze the transformation

Looking at Figure A and Figure B, we can see that for each point $(x,y)$ in Figure A, the corresponding point in Figure B has the x - coordinate with the opposite sign and the y - coordinate remains the same. For example, if a point in Figure A has coordinates $(-3,-2)$, the corresponding point in Figure B has coordinates $(3,-2)$. This follows the rule of a reflection over the y - axis.

Answer:

A. A reflection over the y - axis