Unit 2: Functions
Topic 2.3: Sketching Graphs Questions
Practice 8 exam-style questions for IB Math AA SL Topic 2.3. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
1State1 mark
2026• Aimnova practice — 2.3.1
State the y-intercept of the graph of y = x² − 5x + 6.
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2026• Aimnova practice — 2.3.1
Find the x-intercepts of the graph of y = (x − 2)(x + 4).
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2026• Aimnova practice — 2.3.1
Consider the quadratic y = x² − 6x + 5. (a) Find the x-intercepts. (b) State whether the parabola opens up or down.
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2026• Aimnova practice — 2.3.1
For the graph of y = 1/(x + 3), write down (a) the vertical asymptote and (b) the horizontal asymptote.
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2026• Aimnova practice — 2.3.1
For a sketch of y = 2ˣ, state (a) the y-intercept and (b) the equation of the horizontal asymptote.
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2026• Aimnova practice — 2.3.1
Consider y = (x − 1)(x − 5). (a) Find where the graph meets the axes. (b) Find the coordinates of the vertex.
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2026• Aimnova practice — 2.3.1
The graph of y = a(x − 2)² − 3 has vertex (2, −3) and passes through (0, 1). (a) Write down the vertex. (b) Find the value of a.
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2026• Aimnova practice — 2.3.1
For the graph of y = 3/(x − 1) − 2, state the two asymptotes and the y-intercept.
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