Final answer:
The new coordinates of Y' and Q after the translation can be found by subtracting 2 from their x-coordinates (move to the left) and 6 from their y-coordinates (move down).
Step-by-step explanation:
To find the new coordinates of points Y' and Q after a translation, we simply add or subtract the translation values from their original coordinates. In this case, the quadrilateral will be translated two units to the left and six units down. Moving a point to the left means subtracting from its x-coordinate, and moving it down means subtracting from its y-coordinate. Therefore, for each point, we subtract 2 from the x-coordinate and 6 from the y-coordinate.
If point Y has initial coordinates (xY, yY) and point Q has initial coordinates (xQ, yQ), their new coordinates after translation would be:
- Y' = (xY - 2, yY - 6)
- Q' = (xQ - 2, yQ - 6)
We can't provide the exact coordinates without knowing the original positions of Y and Q. However, following this method will yield the translated coordinates for any given point.