Unit 2: Functions
Topic 2.6: Quadratic Functions Questions
Practice 19 exam-style questions for IB Math AA SL Topic 2.6. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
1Write down2 marks
2026• Aimnova practice — 2.6.2
For f(x) = −(x − 3)² + 8, write down (a) the coordinates of the vertex and (b) the maximum value.
Markscheme and model answer locked
Unlock Question2State2 marks
2026• Aimnova practice — 2.6.3
State the range of f(x) = (x − 4)² − 2.
Markscheme and model answer locked
Unlock Question3Find2 marks
2026• Aimnova practice — 2.6.2
Find the axis of symmetry of y = x² − 8x + 3.
Markscheme and model answer locked
Unlock Question4Write down2 marks
2026• Aimnova practice — 2.6.1
For y = 3x² − 12x + 7, write down (a) the direction it opens and (b) the y-intercept.
Markscheme and model answer locked
Unlock Question5Find2 marks
2026• Aimnova practice — 2.6.1
Find the x-intercepts of y = (x − 5)(x + 2).
Markscheme and model answer locked
Unlock Question6Find3 marks
2026• Aimnova practice — 2.6.2
Find the coordinates of the vertex of y = x² + 4x − 1 by completing the square.
Markscheme and model answer locked
Unlock Question7Find3 marks
2026• Aimnova practice — 2.6.1
The quadratic y = x² + 2x − 8. (a) Factorise it. (b) Write down its x-intercepts.
Markscheme and model answer locked
Unlock Question8State2 marks
2026• Aimnova practice — 2.6.1
A parabola is y = −(x − 1)(x − 5). (a) State the x-intercepts. (b) State whether it opens up or down.
Markscheme and model answer locked
Unlock Question9Find3 marks
2026• Aimnova practice — 2.6.2
A quadratic has x-intercepts at x = 2 and x = 8. (a) Write down the axis of symmetry. (b) Given the minimum value is −9, find the coordinates of the vertex.
Markscheme and model answer locked
Unlock Question10Find3 marks
2026• Aimnova practice — 2.6.2
The quadratic f(x) = x² − 6x + 11. (a) Write it in the form (x − h)² + k. (b) Hence write down the coordinates of the vertex.
Markscheme and model answer locked
Unlock Question11State2 marks
2026• Aimnova practice — 2.6.2
State the minimum value of f(x) = 3(x − 2)² + 4 and the value of x at which it occurs.
Markscheme and model answer locked
Unlock Question12State3 marks
2026• Aimnova practice — 2.6.3
The function g(x) = −2(x + 1)² + 8. (a) Write down the maximum value of g. (b) State the range of g.
Markscheme and model answer locked
Unlock Question13Find3 marks
2026• Aimnova practice — 2.6.1
Consider y = x² − 4x − 5. (a) Find the x-intercepts. (b) Write down the y-intercept.
Markscheme and model answer locked
Unlock Question14Find3 marks
2026• Aimnova practice — 2.6.3
Find the range of f(x) = x² − 6x + 5, x ∈ ℝ.
Markscheme and model answer locked
Unlock Question15Find3 marks
2026• Aimnova practice — 2.6.1
y = 2(x + 1)(x − 4). (a) State the x-intercepts. (b) Find the y-intercept.
Markscheme and model answer locked
Unlock Question16Find2 marks
2026• Aimnova practice — 2.6.1
Write y = (x − 2)(x − 6) in standard form ax² + bx + c.
Markscheme and model answer locked
Unlock Question17State2 marks
2026• Aimnova practice — 2.6.1
A parabola opens downward, has x-intercepts at x = −3 and x = 1, and y-intercept (0, 3). Sketch information: state the axis of symmetry.
Markscheme and model answer locked
Unlock Question18Find2 marks
2026• Aimnova practice — 2.6.2
Write x² − 4x + 9 in the form (x − h)² + k.
Markscheme and model answer locked
Unlock Question19Find3 marks
2026• Aimnova practice — 2.6.2
A parabola has vertex (−1, 4) and passes through (1, 0). Find the value of a in y = a(x + 1)² + 4.
Markscheme and model answer locked
Unlock QuestionReady to practice Topic 2.6?
Get instant AI feedback on your answers, view detailed markschemes, and track your progress across all IB Math AA SL topics.