Final answer:
The question seeks the vertices of a quadrilateral after a translation, but the provided information does not give enough context to determine the locations of the vertices following the transformation. Hence, it is not possible to confirm which option is correct.
Step-by-step explanation:
The question is asking for the vertices of a transformed figure AE'F'G' given specific coordinate transformations in a translation. When a figure is translated, all of its vertices are moved the same distance in the same direction. Therefore, to determine the correct vertices after a translation, you would add or subtract the translation vector's components to the original coordinates of each vertex. The provided options suggest that the translation vector has components that affect the position of the vertices in a two-dimensional coordinate system. However, the information given in the stems is insufficient to directly relate to the transformation of the points for AE'F'G' or confirm any of the options A, B, C, or D.
The extraneous information provided from vectors and displacement topic does not contribute to solving for the vertices of AE'F'G' after a translation. Without the specific transformation information or the original positions of A, E, F, and G, it is not possible to determine the correct answer from the options given.