Unit 2: Functions
Topic 2.11: Transformations of Graphs Questions
Practice 20 exam-style questions for IB Math AA SL Topic 2.11. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
1Describe2 marks
2026• Aimnova practice — 2.11.1
Describe fully the single transformation mapping y = f(x) to y = f(x − 6).
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2026• Aimnova practice — 2.11.2
Describe fully the transformation that maps y = f(x) onto y = 5f(x).
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2026• Aimnova practice — 2.11.2
Describe fully the transformation that maps y = f(x) onto y = −f(x).
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2026• Aimnova practice — 2.11.3
Describe fully the transformations in y = f(x − 3) + 2.
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2026• Aimnova practice — 2.11.1
Describe fully the transformation that maps y = f(x) onto y = f(x) − 5.
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2026• Aimnova practice — 2.11.2
The graph of y = f(x) is reflected in the y-axis. Write down the equation of the new graph.
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2026• Aimnova practice — 2.11.1
y = f(x) has a maximum at (2, 7). Find the coordinates of the maximum of y = f(x + 1) + 3.
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2026• Aimnova practice — 2.11.2
The point (4, 6) lies on y = f(x). Find its image on (a) y = 2f(x) and (b) y = f(−x).
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2026• Aimnova practice — 2.11.3
The point (2, 5) lies on y = f(x). Find its image on y = 2f(x) + 1.
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2026• Aimnova practice — 2.11.2
Describe fully the transformation that maps y = f(x) onto y = f(x/2).
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2026• Aimnova practice — 2.11.3
Describe fully the two transformations in y = 3f(x) − 2.
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2026• Aimnova practice — 2.11.1
The graph of y = 1/x has a vertical asymptote x = 0. The graph is translated by the vector (3, 1). State the new asymptotes.
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2026• Aimnova practice — 2.11.2
Describe fully the transformation that maps y = f(x) onto y = f(3x).
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2026• Aimnova practice — 2.11.2
y = f(x) has an x-intercept at (3, 0) and a y-intercept at (0, 4). Find these intercepts on y = 2f(x).
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2026• Aimnova practice — 2.11.3
Describe fully the sequence of transformations mapping y = f(x) onto y = −f(x) + 6.
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2026• Aimnova practice — 2.11.3
y = f(x) passes through (4, 3). Find its image on y = f(x + 2) − 5.
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2026• Aimnova practice — 2.11.3
The graph of y = f(x) has a maximum point at (1, 4). Find the coordinates of the maximum of y = 3f(x) − 2.
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2026• Aimnova practice — 2.11.3
y = f(x) is transformed to y = f(2x) + 1. Describe fully the two transformations.
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2026• Aimnova practice — 2.11.1
Describe fully the transformation that maps y = f(x) onto y = f(x + 4).
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2026• Aimnova practice — 2.11.1
The point (1, 6) lies on y = f(x). Find its image on the graph of y = f(x − 3) + 2.
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