Applications & Interpretation HL · Topic 2 · Functions

IB Math AI HL Transformations of Graphs Worksheet (questions only)

Translations, stretches and reflections of graphs, in combination and in the correct order.

24 pages · 120 marks · questions only · free PDF for IB Mathematics: Applications and Interpretation HL students.

24pages
120marks
3difficulty levels
Nosolutions included
T2Functions

Download the AI HL Transformations of Graphs worksheet (PDF) ↓   All AI HL worksheets →

What this AI HL transformations of graphs worksheet covers

Translations, stretches and reflections of graphs, in combination and in the correct order. The questions follow the order of the AI HL syllabus for Topic 2 (Functions) and are graded in three bands — routine practice, exam-standard, and the harder multi-step questions that separate a 6 from a 7.

y = f(x) + k, y = f(x + k), y = af(x), y = f(bx)
Reflections in the axes
Combining transformations in the right order
Describing a transformation from two graphs
Exam tip for this topic. Horizontal transformations work "backwards": f(x + 3) moves the graph 3 to the left.

Preview

How to use it

  1. Do the first band without the AI HL formula booklet, then check which formulas you had to look up — those are the ones to memorise.
  2. Time the second band at roughly 1.2 minutes per mark, the pace of Paper 1 and Paper 2.
  3. For the third band, compare your method with the matching questions in the AI HL question bank; if you want this set marked, send it to Mr Ahmad.

More AI HL worksheets on Functions

✓ = solutions included

The same topic for other courses

Questions

Is this AI HL transformations of graphs worksheet free?

Yes — download the PDF with no sign-up. It is one of over 130 free IB Math worksheets on this site, written to match the current syllabus.

Does it come with answers?

This set is questions only. If you would like it marked, or want the matching solutions, contact Mr Ahmad.

Which IB course is it for?

IB Mathematics: Applications and Interpretation HL. The same topic is also available for the other courses where it is on the syllabus — see the links above.

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