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.
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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
State the y-intercept of the graph of y = x² − 5x + 6.
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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
Consider y = (x − 1)(x − 5).
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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
Consider the quadratic y = x² − 6x + 5.
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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
For the graph of y = 3/(x − 1) − 2, state the two asymptotes and the y-intercept.
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