Unit 2: Functions
Topic 2.6: Quadratic Functions Questions
Practice 16 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.
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2026• Aimnova practice — 2.6.2
Find the axis of symmetry of y = x² − 8x + 3.
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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.
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2026• Aimnova practice — 2.6.1
For y = 3x² − 12x + 7, write down (a) the direction it opens and (b) the y-intercept.
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2026• Aimnova practice — 2.6.1
Find the x-intercepts of y = (x − 5)(x + 2).
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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.
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2026• Aimnova practice — 2.6.2
Find the coordinates of the vertex of y = x² + 4x − 1 by completing the square.
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2026• Aimnova practice — 2.6.1
The quadratic y = x² + 2x − 8.
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2026• Aimnova practice — 2.6.1
A parabola is y = −(x − 1)(x − 5).
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2026• Aimnova practice — 2.6.1
Consider y = x² − 4x − 5.
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2026• Aimnova practice — 2.6.1
y = 2(x + 1)(x − 4). (a) State the x-intercepts. (b) Find the y-intercept.
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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.
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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.
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2026• Aimnova practice — 2.6.2
The quadratic f(x) = x² − 6x + 11.
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2026• Aimnova practice — 2.6.1
Write y = (x − 2)(x − 6) in standard form ax² + bx + c.
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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.
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2026• Aimnova practice — 2.6.2
Write x² − 4x + 9 in the form (x − h)² + k.
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