Question

figure x is the result of a transformation on figure w. which transformation would accomplish this? answer a translation 4 units to the left. a reflection over the y -axis a rotation 180° clockwise about the origin a reflection over the x -axis

Explanation:

First, identify key points of Figure W: for example, the top vertex is (2,5), right base vertex is (4,3), and the vertex at the origin (0,2). The corresponding points on Figure X are (-2,5), (-4,3), and (0,2). A reflection over the y-axis transforms a point $(x,y)$ to $(-x,y)$, which matches the coordinate change between the two figures. Other options do not fit: translation would shift all points by the same value without flipping x-coordinates, 180° rotation would change both x and y signs, and x-axis reflection would flip the y-coordinate sign.

Answer:

A reflection over the y -axis