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 + 4x + 7 by completing the square. Type it like (2, −1).
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Question 2
Write x² − 2x − 3 in the form (x + p)² + q. What is q?
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Question 3
Find the turning point of y = x² + 6x by completing the square. Type it like (2, −1).
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Question 4
Write x² − 8x + 28 in the form (x + p)² + q. What is q?
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Question 5
Find the turning point of y = x² + 12x + 40 by completing the square. Type it like (2, −1).
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Question 6
Write x² − 6x in the form (x + p)² + q. What is p?
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Question 7
Find the turning point of y = x² + 2x + 4 by completing the square. Type it like (2, −1).
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Question 8
Write x² + 12x + 46 in the form (x + p)² + q. What is q?
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Question 9
Find the turning point of y = x² − 2x + 2 by completing the square. Type it like (2, −1).
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Question 10
Write x² + 12x + 32 in the form (x + p)² + q. What is p?
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Question 11
Find the turning point of y = x² − 12x + 28 by completing the square. Type it like (2, −1).
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Question 12
Write x² − 6x + 24 in the form (x + p)² + q. What is p?
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Question 13
Find the turning point of y = x² + 12x + 35 by completing the square. Type it like (2, −1).
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Question 14
Write x² − 8x + 4 in the form (x + p)² + q. What is q?
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Question 15
Find the turning point of y = x² − 8x + 18 by completing the square. Type it like (2, −1).
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Question 16
Write x² − 6x + 22 in the form (x + p)² + q. What is p?
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