Unit 2: Functions
Topic 2.8: Graph transformations (HL only) Questions
Practice 13 exam-style questions for IB Math AI SL Topic 2.8. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
11 mark
2026
Which transformation reflects y = f(x) in the y-axis?
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2026
The point (3, −2) lies on y = f(x). Find its image on the graph of y = f(x − 2) + 5.
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2026
Sketch , marking the image of the maximum.
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2026
The curve y = f(x) crosses the x-axis at x = −2 and x = 6. State the x-intercepts of y = f(x − 4).
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2026
A company's daily profit (in $1000s) is P = f(d), d days after launch. A consultant proposes a revised plan g(d) = f(d − 7) + 4.
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2026
The graph of y = f(x) is transformed to y = f(2x) + 1. The original has a minimum at (8, −3). Find the new minimum.
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2026
y = f(x) has a maximum at (1, 8). Find the maximum of y = ½ f(x) − 3.
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2026
y = f(x) has a horizontal asymptote y = 2. The asymptote of y = 3f(x) is:
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2026
Under g(x) = f(x − 5) − 2, the point (3, 4) on y = f(x) maps to:
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2026
A noise level is modelled by L = f(t). A change makes it everywhere twice as loud and reflects the pattern in the time axis (t → −t). Write the new model and describe both transformations.
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2026
Find the coordinates of the minimum of and the value of , describing the transformations involved.
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