Final answer:
The preimage of the point (-3, -10) under the translation (x, y) → (x - 8, y - 4) is found by reversing the translation, resulting in the preimage point (5, -6).
Step-by-step explanation:
The question asks to find the preimage of the point (-3, -10) under the translation (x, y) → (x - 8, y - 4). To find the preimage, we need to reverse the translation process. This means we should add 8 to the x-coordinate and 4 to the y-coordinate of the given point.
Starting with the x-coordinate:
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- Preimage x-coordinate = -3 + 8 = 5
Now, the y-coordinate:
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- Preimage y-coordinate = -10 + 4 = -6
Therefore, the preimage of the point (-3, -10) under the given translation is (5, -6).