To find the new coordinates of point \( S' \) after translating point \( S \) (which has coordinates \( (2, 2) \)) 6 units up and 4 units to the left, you can follow these steps:
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Translate 6 units up: Increase the y-coordinate by 6. \[ y' = 2 + 6 = 8 \]
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Translate 4 units to the left: Decrease the x-coordinate by 4. \[ x' = 2 - 4 = -2 \]
Therefore, the new coordinates of point \( S' \) are \( (-2, 8) \).
So the answer is: \[ S' = (-2, 8) \]