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Grade 11 · Functions
The Parabola: y = a(x + p)² + q (Grade 11)
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  / 16

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

  1. 1
    Write down the turning point of y = 2(x + 2)² − 8.
    (2)
  2. 2
    Determine the x-intercepts of y = 2(x + 2)² − 8.
    (2)
    -6-5-4-3-2-1123-10-8-6-4-224xyy = 2(x + 2)² − 8TP (−2 ; −8)(−4 ; 0)(0 ; 0)
  3. 3
    Determine the y-intercept of y = 2(x + 2)² − 8.
    (2)
  4. 4
    Write down the equation of the axis of symmetry of y = 2(x + 2)² − 8.
    (2)
  5. 5
    Write down the range of y = 2(x + 2)² − 8.
    (2)
  6. 6
    Write down the domain of y = 2(x + 2)² − 8.
    (2)
  7. 7
    Write y = x² − 6x + 5 in the form y = a(x + p)² + q.
    (2)
  8. 8
    For what values of x is y = 2(x + 2)² − 8 increasing?
    (2)
    -3-2-112345-20-1010xyy = x³ − 3x² − 9x + 5(−1 ; 10) max(3 ; −22) min(1 ; −6) infl
TOTAL: 16 marks
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