To find the new coordinates of point \( A \) after being translated, you simply add the translation values to the original coordinates.
The original coordinates of point \( A \) are \( (3, 8) \).
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Translation right by 1: This means you add 1 to the x-coordinate. \[ 3 + 1 = 4 \]
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Translation up by 4: This means you add 4 to the y-coordinate. \[ 8 + 4 = 12 \]
So the new coordinates of point \( A' \) after the translation are: \[ A' (4, 12) \]