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20 questions and an answer page, sized for A4.

Vertex, axis and discriminant of a parabola

Year 11 · Functions & Graphs · 20 questions

Name
Date
  1. 1.
    What is the discriminant of y = x² − 6?
  2. 2.
    How many real solutions does y = -x² − 10x − 28 = 0 have?
    a)0b)1c)2
  3. 3.
    What is the vertex (turning point) of y = 2x² + 12x + 22?
    a)(-2, 4)b)(-3, -4)c)(3, 4)d)(-3, 4)
  4. 4.
    What is the vertex (turning point) of y = 2x² + 4x + 7?
    a)(-1, 5)b)(0, 5)c)(1, 5)d)(-1, -5)
  5. 5.
    What is the discriminant of y = x² − 2x + 2?
  6. 6.
    How many real solutions does y = -x² − 6x − 14 = 0 have?
    a)0b)1c)2
  7. 7.
    How many real solutions does y = x² + 8x + 21 = 0 have?
    a)0b)1c)2
  8. 8.
    What is the vertex (turning point) of y = x² + 10x + 31?
    a)(5, 6)b)(-5, 6)c)(6, -5)d)(-5, -6)
  9. 9.
    What is the equation of the axis of symmetry of y = -x² − 6x − 10?
    a)y = -1b)x = -1c)x = -3d)x = 3
  10. 10.
    What is the discriminant of y = x² − 10x + 31?
  11. 11.
    What is the vertex (turning point) of y = x² + 6x + 14?
    a)(-3, -5)b)(5, -3)c)(-2, 5)d)(-3, 5)
  12. 12.
    What is the equation of the axis of symmetry of y = 2x² + 16x + 26?
    a)y = -6b)x = -4c)x = -3d)x = 4
  13. 13.
    What is the discriminant of y = -x² + 2x − 4?
  14. 14.
    What is the vertex (turning point) of y = x² + 4x + 1?
    a)(-1, -3)b)(-2, 3)c)(-2, -3)d)(-3, -2)
  15. 15.
    What is the vertex (turning point) of y = -x² − 8x − 10?
    a)(-3, 6)b)(-4, 6)c)(6, -4)d)(-4, -6)
  16. 16.
    What is the equation of the axis of symmetry of y = x² − 2x + 7?
    a)x = -1b)x = 1c)x = 6d)x = 2
  17. 17.
    What is the vertex (turning point) of y = -x² + 10x − 20?
    a)(-5, 5)b)(6, 5)c)(5, 5)d)(5, -5)
  18. 18.
    What is the equation of the axis of symmetry of y = x² + 10x + 29?
    a)x = 4b)x = -5c)x = -4d)x = 5
  19. 19.
    What is the vertex (turning point) of y = x² − 8x + 12?
    a)(-4, 4)b)(4, -4)c)(-4, -4)d)(4, 4)
  20. 20.
    What is the equation of the axis of symmetry of y = x² + 10x + 31?
    a)x = 6b)x = -5c)x = -4d)y = 6

Free maths worksheets and practice: rocketdigits.com/learn/vertex-axis-and-discriminant-of-a-parabola

Answers: Vertex, axis and discriminant of a parabola

  1. 24
  2. a) 0
  3. d) (-3, 4)
  4. a) (-1, 5)
  5. -4
  6. a) 0
  7. a) 0
  8. b) (-5, 6)
  9. c) x = -3
  10. -24
  11. d) (-3, 5)
  12. b) x = -4
  13. -12
  14. c) (-2, -3)
  15. b) (-4, 6)
  16. b) x = 1
  17. c) (5, 5)
  18. b) x = -5
  19. b) (4, -4)
  20. b) x = -5

Free maths worksheets and practice: rocketdigits.com/learn/vertex-axis-and-discriminant-of-a-parabola

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