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The pattern starts at a minimum, rises through the midline to a maximum, then returns through the midline to a minimum, matching a reflected cosine curve. The maximum is 8 and the minimum is 6, so the midline is (8 + 6)/2 = 7 and the amplitude is (8 − 6)/2 = 1. Thus a = −1 and k = 7, giving y = −cos(x) + 7.

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