To translate the point \( D = (-8, -8) \) left by 50 and down by 40, you can follow these steps:
-
Translate left (subtract from the x-coordinate):
\[ x' = -8 - 50 = -58 \] -
Translate down (subtract from the y-coordinate):
\[ y' = -8 - 40 = -48 \]
Thus, the coordinates of \( D' \) after the translation are: \[ D' = (-58, -48) \]
So the final answer is: \[ D' = (-58, -48) \]