Common Core HSF.IF.C.8.A worksheet
High school · 16 questions · Common Core: HSF.IF.C.8.A, HSF.IF.B.4, HSA.SSE.B.3.B · England: A-level Pure Mathematics
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Question 1
Write y = x² − 2x + 11 in vertex form.
- A. y = (x + 1)² + 10
- B. y = (x − 1)² + 11
- C. y = (x − 1)² + 10
- D. y = (x − 2)² + 10
Question 2
What is the minimum value of f(x) = 3(x + 4)² + 6?
Answer
Question 3
What is the x-coordinate of the vertex of y = −x² − 4x + 1?
Answer
Question 4
Write y = −2x² − 16x − 34 in vertex form.
- A. y = -2(x + 4)² − 2
- B. y = -2(x + 4)² − 34
- C. y = -2(x − 4)² − 2
- D. y = (x − 8)² − 2
Question 5
Write y = x² + 2x + 10 in vertex form.
- A. y = (x − 1)² + 9
- B. y = (x + 1)² + 10
- C. y = (x + 1)² + 9
- D. y = (x + 2)² + 9
Question 6
What is the minimum value of f(x) = (x − 4)² − 2?
Answer
Question 7
What is the x-coordinate of the vertex of y = x² + 8x + 7?
Answer
Question 8
Write y = −2x² − 12x − 8 in vertex form.
- A. y = (x − 6)² + 10
- B. y = -2(x + 3)² + 10
- C. y = -2(x + 3)² − 8
- D. y = -2(x − 3)² + 10
Question 9
Write y = x² + 4x − 5 in vertex form.
- A. y = (x + 2)² − 5
- B. y = (x + 4)² − 9
- C. y = (x − 2)² − 9
- D. y = (x + 2)² − 9
Question 10
What is the maximum value of f(x) = −3(x + 6)² + 6?
Answer
Question 11
What is the x-coordinate of the vertex of y = −x² + 2x − 2?
Answer
Question 12
Write y = 2x² + 8x + 5 in vertex form.
- A. y = 2(x + 2)² + 5
- B. y = (x + 4)² − 3
- C. y = 2(x + 2)² − 3
- D. y = 2(x − 2)² − 3
Question 13
Write y = x² − 10x + 31 in vertex form.
- A. y = (x − 10)² + 6
- B. y = (x − 5)² + 31
- C. y = (x − 5)² + 6
- D. y = (x + 5)² + 6
Question 14
What is the minimum value of f(x) = (x − 5)² − 2?
Answer
Question 15
What is the x-coordinate of the vertex of y = x² + 3?
Answer
Question 16
Write y = −x² + 6x + 1 in vertex form.
- A. y = −(x + 3)² + 10
- B. y = −(x − 3)² + 10
- C. y = −(x − 3)² + 1
- D. y = (x + 3)² + 10
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