Answer:
The only image with edges at the given coordinates is;
Given the figure in the attached image.
we want to identify the image after a translation;
![T(3,-1)(x,y)](https://img.qammunity.org/2023/formulas/mathematics/high-school/4zykd5zfldbmfd6f1d6da7qhsx7xymwd7r.png)
Using one of the edges of the figure;
![(x,y)=(-4,0)](https://img.qammunity.org/2023/formulas/mathematics/high-school/s601v5do46nz3z4xq509frv4zhoboapxyb.png)
Applying the above translation we have;
![(-4,0)\rightarrow(-4+3,0-1)=(-1,-1)](https://img.qammunity.org/2023/formulas/mathematics/high-school/73p0h2g7tu2iu0k7enaejwlcy4nqmxpdy3.png)
The edge of the image would be at;
![(-1,-1)](https://img.qammunity.org/2023/formulas/mathematics/high-school/qrvq2lka3nyugd8ov90huoygx4ytu778fu.png)
Therefore, the only image with edges at the given coordinates is;