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Common Core HSA.SSE.B.3.B worksheet

High school · 16 questions · Common Core: HSA.SSE.B.3.B, HSA.REI.B.4.A, HSF.IF.C.8.A · England: GCSE Higher Algebra, A-level Pure Mathematics

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1
Question 1
Write y = x² + 12x + 35 in vertex form.
- A. y = (x + 6)² + 35
- B. y = (x + 12)² − 1
- C. y = (x + 6)² − 1
- D. y = (x − 6)² − 1
Question 2
Write x² − 6x + 15 in the form (x + p)² + q. What is p?
Answer
Question 3
Find the turning point of y = x² − 10x + 21 by completing the square. Type it like (2, −1).
Answer
4
Question 4
Write y = −2x² + 12x − 15 in vertex form.
- A. y = -2(x − 3)² − 15
- B. y = -2(x − 3)² + 3
- C. y = -2(x + 3)² + 3
- D. y = (x + 6)² + 3
5
Question 5
Write y = x² − 4x + 4 in vertex form.
- A. y = (x − 2)² + 4
- B. y = (x − 2)² + 0
- C. y = (x − 4)² + 0
- D. y = (x + 2)² + 0
Question 6
Write x² − 8x + 28 in the form (x + p)² + q. What is q?
Answer
Question 7
Find the turning point of y = x² − 6x + 19 by completing the square. Type it like (2, −1).
Answer
8
Question 8
Write y = −x² + 4x − 10 in vertex form.
- A. y = (x + 2)² − 6
- B. y = −(x − 2)² − 6
- C. y = −(x + 2)² − 6
- D. y = −(x − 2)² − 10
9
Question 9
Write y = x² − 2x + 6 in vertex form.
- A. y = (x − 2)² + 5
- B. y = (x − 1)² + 6
- C. y = (x + 1)² + 5
- D. y = (x − 1)² + 5
Question 10
Write x² − 12x + 26 in the form (x + p)² + q. What is p?
Answer
Question 11
Find the turning point of y = x² + 10x + 21 by completing the square. Type it like (2, −1).
Answer
12
Question 12
Write y = −x² − 4x − 7 in vertex form.
- A. y = −(x + 2)² − 7
- B. y = −(x + 2)² − 3
- C. y = −(x − 2)² − 3
- D. y = (x − 2)² − 3
13
Question 13
Write y = x² − 2x + 2 in vertex form.
- A. y = (x + 1)² + 1
- B. y = (x − 2)² + 1
- C. y = (x − 1)² + 2
- D. y = (x − 1)² + 1
Question 14
Write x² + 4x + 4 in the form (x + p)² + q. What is p?
Answer
Question 15
Find the turning point of y = x² + 6x + 12 by completing the square. Type it like (2, −1).
Answer
16
Question 16
Write y = 2x² + 16x + 38 in vertex form.
- A. y = 2(x − 4)² + 6
- B. y = 2(x + 4)² + 38
- C. y = (x + 8)² + 6
- D. y = 2(x + 4)² + 6

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Answer key: Common Core HSA.SSE.B.3.B worksheet

1. C. y = (x + 6)² − 1
2. -3
3. (5, −4)
4. B. y = -2(x − 3)² + 3
5. B. y = (x − 2)² + 0
6. 12
7. (3, 10)
8. B. y = −(x − 2)² − 6
9. D. y = (x − 1)² + 5
10. -6
11. (−5, −4)
12. B. y = −(x + 2)² − 3
13. D. y = (x − 1)² + 1
14. 2
15. (−3, 3)
16. D. y = 2(x + 4)² + 6