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 180° clockwise about the origin a translation 6 units to the left. submit answer

Explanation:

To determine the transformation from Figure A to Figure B, we analyze the symmetry. A reflection over the \( y \)-axis maps a point \((x,y)\) to \((-x,y)\). Observing the figures, Figure B appears as the mirror image of Figure A across the \( y \)-axis. A reflection over the \( x \)-axis would flip vertically (change \( y \)-sign), a \( 180^\circ \) rotation would map \((x,y)\) to \((-x,-y)\), and a translation 6 units left would shift horizontally without mirroring. So the correct transformation is a reflection over the \( y \)-axis.

Answer:

A. A reflection over the \( y \)-axis