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Grade 10 · Functions and Graphs
Sketching the Parabola y = ax² + q (Grade 10)
WORKSHEET
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  / 22

Answer all questions. Show all your working — marks are awarded for method as well as the final answer.

  1. 1
    Write down the shape and the turning point of y = 3x2 − 5.
    (2)
  2. 2
    Write down the y-intercept and the range of y = x2 + 2.
    (2)
  3. 3
    Determine the x-intercepts of y = x2 − 9.
    (2)
  4. 4
    Determine the x-intercepts of y = 2x2 − 8.
    (3)
  5. 5
    Does y = x2 + 5 cut the x-axis? Give a reason.
    (2)
  6. 6
    Write down the range of y = −x2 + 4.
    (2)
  7. 7
    y = ax2 + q has turning point (0 ; 1) and passes through (2 ; 9). Determine a and q.
    (3)
  8. 8
    Describe how y = x2 − 3 differs from y = x2.
    (2)
  9. 9
    Describe how y = −x2 differs from y = x2.
    (2)
  10. 10
    Write down the domain and the range of y = 2x2 − 6.
    (2)
TOTAL: 22 marks
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