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Quadratic functions in vertex form

11th grade (Year 12 in England) · 16 questions · Common Core: HSF.IF.C.8.A, HSF.IF.B.4

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  1. Question 1

    What is the x-coordinate of the vertex of y = x² − 6x + 4?

    Answer

  2. Question 2

    What is the minimum value of f(x) = (x − 6)² − 5?

    Answer

  3. Question 3

    What is the x-coordinate of the vertex of y = x² + 10x + 20?

    Answer

  4. Question 4

    What is the minimum value of f(x) = (x + 5)² − 5?

    Answer

  5. Question 5

    What is the x-coordinate of the vertex of y = 2x² + 12x + 18?

    Answer

  6. Question 6

    What is the minimum value of f(x) = (x + 5)² + 6?

    Answer

  7. Question 7

    What is the x-coordinate of the vertex of y = 2x² − 12x + 22?

    Answer

  8. Question 8

    What is the minimum value of f(x) = (x + 6)² + 9?

    Answer

  9. Question 9

    What is the x-coordinate of the vertex of y = −x² − 2x + 6?

    Answer

  10. Question 10

    What is the maximum value of f(x) = −2(x − 1)² − 2?

    Answer

  11. Question 11

    What is the x-coordinate of the vertex of y = 2x² − 3?

    Answer

  12. Question 12

    What is the minimum value of f(x) = 3(x + 4)² + 8?

    Answer

  13. Question 13

    What is the x-coordinate of the vertex of y = x² − 2?

    Answer

  14. Question 14

    What is the minimum value of f(x) = 2(x − 3)² − 8?

    Answer

  15. Question 15

    What is the x-coordinate of the vertex of y = −x² − 8x − 22?

    Answer

  16. Question 16

    What is the minimum value of f(x) = 3(x + 4)² + 3?

    Answer

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Answer key: Quadratic functions in vertex form

  1. 1. 3

  2. 2. -5

  3. 3. -5

  4. 4. -5

  5. 5. -3

  6. 6. 6

  7. 7. 3

  8. 8. 9

  9. 9. -1

  10. 10. -2

  11. 11. 0

  12. 12. 8

  13. 13. 0

  14. 14. -8

  15. 15. -4

  16. 16. 3