Which conclusion follows deductively from the assumption that n is divisible by 6?
If n is divisible by 6, n = 6k = 3(2k) for some integer k. Hence n is divisible by 3.
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If n is divisible by 6, n = 6k = 3(2k) for some integer k. Hence n is divisible by 3.
Equal roots require discriminant zero: k² - 4(1)(9) = 0. Thus k² = 36 and k = ±6.
Replacing x by x - 3 shifts the graph right 3. Multiplication by -2 reflects it in the x-axis and stretches vertically by factor 2; adding 1 shifts it up 1.
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Correct answer: n is divisible by 3
If n is divisible by 6, n = 6k = 3(2k) for some integer k. Hence n is divisible by 3.
Correct answer: k = ±6
Equal roots require discriminant zero: k² - 4(1)(9) = 0. Thus k² = 36 and k = ±6.
Correct answer: Right 3, vertical stretch factor 2 and reflection in the x-axis, then up 1
Replacing x by x - 3 shifts the graph right 3. Multiplication by -2 reflects it in the x-axis and stretches vertically by factor 2; adding 1 shifts it up 1.
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IB AA SL · 2029 · IB · Mathematics · first-assessment-2029
Analysis and approaches SL, first assessment May 2029; subject brief published 2026
Source checked: 2026-08-27. The current official specification controls assessment requirements and option choices.
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