A point P(x, y) is first reflected across the x-axis to form point Q. Point Q is then shifted 3 units horizontally to the left and 2 units vertically upwards to land exactly at the coordinates (-5, 7). What were the coordinates of the original point P?

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• A (-2, -5)
• B (-2, 5)
• C (-8, -5)
• D (-8, 5)

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Answer: A. (-2, -5)

Work backwards from (-5, 7). Before moving 3 left and 2 up, Q was at (-5 + 3, 7 - 2) = (-2, 5).
Q is the reflection of P in the x-axis, so P = (-2, -5).

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