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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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  1. Question 1

    Where does y = x² + 3x + 2 cross the y-axis? Give the y-value.

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

    Answer

  2. Question 2

    Does the parabola y = −(x + 5)² + 6 have a maximum or a minimum point?

    • A. Maximum
    • B. Minimum

  3. Question 3

    What is the x-coordinate of the vertex (turning point) of y = x² + x − 20?

    xy−10−8−6−4−2246810−40−32−24−16−88162432400(4, 0)(−5, 0)(0, −20)

    Answer

  4. Question 4

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

    • A. Maximum
    • B. Minimum

  5. Question 5

    What is the x-coordinate of the vertex (turning point) of y = x² + x − 20?

    xy−10−8−6−4−2246810−40−32−24−16−88162432400(4, 0)(−5, 0)(0, −20)

    Answer

  6. Question 6

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

    • A. Maximum
    • B. Minimum

  7. Question 7

    What is the x-coordinate of the vertex (turning point) of y = x² + 11x + 30?

    xy−10−8−6−4−2246810−40−32−24−16−88162432400(−5, 0)(−6, 0)(0, 30)

    Answer

  8. Question 8

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

    • A. Maximum
    • B. Minimum

  9. Question 9

    What is the x-coordinate of the vertex (turning point) of y = x² + 5x + 4?

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

    Answer

  10. Question 10

    Does the parabola y = 2(x + 5)² + 7 have a maximum or a minimum point?

    • A. Maximum
    • B. Minimum

  11. Question 11

    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(−2, 0)(−1, 0)(0, 2)

    Answer

  12. Question 12

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

    • A. Maximum
    • B. Minimum

  13. Question 13

    What is the x-coordinate of the vertex (turning point) of y = x² − 3x − 10?

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

    Answer

  14. Question 14

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

    • A. Maximum
    • B. Minimum

  15. Question 15

    Find the x-intercepts (roots) of y = x² + 9x + 20. Separate them with a comma.

    xy−10−8−6−4−2246810−40−32−24−16−88162432400(−4, 0)(−5, 0)(0, 20)

    x =

  16. Question 16

    Does the parabola y = −2(x + 4)² − 6 have a maximum or a minimum point?

    • A. Maximum
    • B. Minimum

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  1. 2
  2. Maximum
  3. -0.5
  4. Maximum
  5. -0.5
  6. Minimum
  7. -5.5
  8. Minimum
  9. -2.5
  10. Minimum
  11. -1.5
  12. Minimum
  13. 1.5
  14. Maximum
  15. x = -5 or x = -4
  16. Maximum