Completing the square
10th grade (Year 11 in England) · 16 questions · Common Core: HSA.SSE.B.3.B, HSA.REI.B.4.A · England: GCSE Higher Algebra
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Question 1
Find the turning point of y = x² + 6x + 12 by completing the square. Type it like (2, −1).
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Question 2
Write x² + 4x + 16 in the form (x + p)² + q. What is p?
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Question 3
Find the turning point of y = x² − 2x − 1 by completing the square. Type it like (2, −1).
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Question 4
Write x² − 10x + 25 in the form (x + p)² + q. What is q?
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Question 5
Find the turning point of y = x² + 10x + 15 by completing the square. Type it like (2, −1).
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Question 6
Write x² − 10x + 40 in the form (x + p)² + q. What is p?
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Question 7
Find the turning point of y = x² + 4x − 3 by completing the square. Type it like (2, −1).
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Question 8
Write x² − 8x + 14 in the form (x + p)² + q. What is q?
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Question 9
Find the turning point of y = x² + 8x + 21 by completing the square. Type it like (2, −1).
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Question 10
Write x² − 2x + 7 in the form (x + p)² + q. What is p?
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Question 11
Find the turning point of y = x² + 8x + 14 by completing the square. Type it like (2, −1).
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Question 12
Write x² − 6x + 14 in the form (x + p)² + q. What is q?
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Question 13
Find the turning point of y = x² + 6x + 11 by completing the square. Type it like (2, −1).
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Question 14
Write x² + 2x in the form (x + p)² + q. What is q?
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Question 15
Find the turning point of y = x² − 12x + 42 by completing the square. Type it like (2, −1).
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Question 16
Write x² − 12x + 48 in the form (x + p)² + q. What is p?
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