To find the new coordinates of point \( S' \) after translating point \( S \) 6 units up and 4 units to the left, we need to start with the original coordinates of point \( S \). Let's denote the original coordinates of point \( S \) as \( (x, y) \).
-
Translate 6 units up: This means we add 6 to the y-coordinate. \[ y' = y + 6 \]
-
Translate 4 units to the left: This means we subtract 4 from the x-coordinate. \[ x' = x - 4 \]
Thus, the new coordinates of point \( S' \) will be \( (x - 4, y + 6) \).
If you provide the original coordinates of point \( S \), I can give you the exact coordinates of point \( S' \).