I'm unable to view or analyze specific images or graphs. However, I can describe the process for you to understand how to perform a 270° rotation about point D followed by a translation along the vector <2, -2>.
1. Start with triangle DEF.
2. Perform a 270° counterclockwise rotation about point D. This means each vertex of the triangle will be moved 270° counterclockwise around D. To do this, imagine drawing the image of each vertex as if you were turning the triangle counterclockwise around point D.
3. After the rotation, translate the resulting triangle along the vector <2, -2>. Each point of the rotated triangle will be moved 2 units to the right and 2 units down.
The final position of the triangle after the rotation and translation will be the image of △DEF. You'll need to visualize or apply these transformations to your specific triangle on a graph to see the exact image. If you have a specific triangle or graph you'd like me to analyze, please provide the coordinates or a description, and I can help you further.