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Common Core HSF.IF.C.7.A worksheet

High school · 16 questions · Common Core: HSF.IF.B.4, HSF.IF.C.7.A · England: GCSE Foundation Algebra, GCSE Higher Algebra

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  1. Question 1

    Does the parabola y = −(x + 2)² − 2 have a maximum or a minimum point?

    • A. Maximum
    • B. Minimum
  2. Question 2

    A drone's height (m) after t seconds is h = −5t² + 10t + 35. What is its maximum height?

    Answer

  3. Question 3

    Find the vertex of y = 3x² + 12x + 14. Type it like (2, −1).

    Answer

  4. Question 4

    Where does y = x² − 7x + 12 cross the y-axis? Give the y-value.

    xy−10−8−6−4−2246810−40−32−24−16−88162432400(4, 0)(3, 0)(0, 12)

    Answer

  5. Question 5

    Find the axis of symmetry of y = −x² + 2x + 8. Give the value of x.

    Answer

  6. Question 6

    Does the parabola y = −(x + 1)² − 3 have a maximum or a minimum point?

    • A. Maximum
    • B. Minimum
  7. Question 7

    A company's daily cost (in hundreds) is C = n² − 6n + 22, where n is hundreds of items made. What is the minimum cost (in hundreds)?

    Answer

  8. Question 8

    Find the vertex of y = 2x² + 16x + 39. Type it like (2, −1).

    Answer

  9. Question 9

    What is the x-coordinate of the vertex (turning point) of y = x² + 2x − 15?

    xy−10−8−6−4−2246810−40−32−24−16−88162432400(3, 0)(−5, 0)(0, −15)

    Answer

  10. Question 10

    Find the axis of symmetry of y = −x² − 8x − 10. Give the value of x.

    Answer

  11. Question 11

    Does the parabola y = −(x − 2)² − 4 have a maximum or a minimum point?

    • A. Maximum
    • B. Minimum
  12. Question 12

    A company's daily cost (in hundreds) is C = n² − 12n + 55, where n is hundreds of items made. What is the minimum cost (in hundreds)?

    Answer

  13. Question 13

    Find the vertex of y = −2x² + 8x − 1. Type it like (2, −1).

    Answer

  14. Question 14

    Where does y = x² − 8x + 15 cross the y-axis? Give the y-value.

    xy−10−8−6−4−2246810−40−32−24−16−88162432400(5, 0)(3, 0)(0, 15)

    Answer

  15. Question 15

    Find the axis of symmetry of y = −2x² + 8x − 17. Give the value of x.

    Answer

  16. Question 16

    Does the parabola y = −2(x − 5)² + 2 have a maximum or a minimum point?

    • A. Maximum
    • B. Minimum

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Answer key: Common Core HSF.IF.C.7.A worksheet

  1. 1. A. Maximum

  2. 2. 40

  3. 3. (−2, 2)

  4. 4. 12

  5. 5. 1

  6. 6. A. Maximum

  7. 7. 13

  8. 8. (−4, 7)

  9. 9. -1

  10. 10. -4

  11. 11. A. Maximum

  12. 12. 19

  13. 13. (2, 7)

  14. 14. 15

  15. 15. 2

  16. 16. A. Maximum

HSF.IF.C.7a Worksheet: Graphs of quadratics: roots, vertex, intercepts | Eurekami