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Graphs of quadratics

9th grade (Year 10 in England) · 16 questions · Common Core: HSF.IF.B.4, HSF.IF.C.7.A · England: GCSE Foundation Algebra, GCSE Higher Algebra

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Date

Score/ 16

  1. Question 1

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

    • A. Maximum
    • B. Minimum

  2. Question 2

    What is the x-coordinate of the vertex (turning point) of y = x² − 3x + 2?

    xy−10−8−6−4−2246810−40−32−24−16−88162432400(1, 0)(2, 0)(0, 2)

    Answer

  3. Question 3

    Does the parabola y = −(x + 3)² − 4 have a maximum or a minimum point?

    • A. Maximum
    • B. Minimum

  4. Question 4

    What is the x-coordinate of the vertex (turning point) of y = x² − 2x − 8?

    xy−10−8−6−4−2246810−40−32−24−16−88162432400(4, 0)(−2, 0)(0, −8)

    Answer

  5. Question 5

    Does the parabola y = (x + 5)² + 1 have a maximum or a minimum point?

    • A. Maximum
    • B. Minimum

  6. Question 6

    Find the x-intercepts (roots) of y = x² − 7x + 12. Separate them with a comma.

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

    x =

  7. Question 7

    Does the parabola y = −(x + 3)² + 7 have a maximum or a minimum point?

    • A. Maximum
    • B. Minimum

  8. Question 8

    Find the x-intercepts (roots) of y = x² − x − 2. Separate them with a comma.

    xy−10−8−6−4−2246810−40−32−24−16−88162432400(2, 0)(−1, 0)(0, −2)

    x =

  9. Question 9

    Does the parabola y = (x − 4)² − 7 have a maximum or a minimum point?

    • A. Maximum
    • B. Minimum

  10. Question 10

    Find the x-intercepts (roots) of y = x² + 7x + 10. Separate them with a comma.

    xy−10−8−6−4−2246810−40−32−24−16−88162432400(−5, 0)(−2, 0)(0, 10)

    x =

  11. Question 11

    Does the parabola y = (x + 1)² + 6 have a maximum or a minimum point?

    • A. Maximum
    • B. Minimum

  12. Question 12

    Find the x-intercepts (roots) of y = x² + 2x − 24. Separate them with a comma.

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

    x =

  13. Question 13

    Does the parabola y = 2(x + 4)² + 3 have a maximum or a minimum point?

    • A. Maximum
    • B. Minimum

  14. Question 14

    Find the x-intercepts (roots) of y = x² − 25. Separate them with a comma.

    xy−10−8−6−4−2246810−40−32−24−16−88162432400(−5, 0)(5, 0)(0, −25)

    x =

  15. Question 15

    Does the parabola y = (x − 3)² + 4 have a maximum or a minimum point?

    • A. Maximum
    • B. Minimum

  16. Question 16

    Where does y = x² − x − 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

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Answer key: Graphs of quadratics

  1. 1. A. Maximum

  2. 2. 1.5

  3. 3. A. Maximum

  4. 4. 1

  5. 5. B. Minimum

  6. 6. x = 3 or x = 4

  7. 7. A. Maximum

  8. 8. x = -1 or x = 2

  9. 9. B. Minimum

  10. 10. x = -5 or x = -2

  11. 11. B. Minimum

  12. 12. x = -6 or x = 4

  13. 13. B. Minimum

  14. 14. x = -5 or x = 5

  15. 15. B. Minimum

  16. 16. -12