To find the coordinates of point D' after the translation, we need to determine the original coordinates of point D and then apply the translation.
Let's denote the coordinates of point D as (x_D, y_D).
According to the transformation:
- A horizontal translation of +7 means we add 7 to the x-coordinate.
- A vertical translation of -5 means we subtract 5 from the y-coordinate.
Thus, the new coordinates of point D' after the translation will be:
\[ D' = (x_D + 7, y_D - 5) \]
If you know the initial coordinates of point D, you can substitute them into the equation above to find D'. If you provide the coordinates of point D, I can calculate the exact coordinates of D' for you.