Analysis & Approaches HL · Topic 2 · Functions

IB Math AA HL Quadratic Functions and Graphs Worksheet (with full solutions)

Quadratics in every form: factorising, completing the square, the discriminant, vertex and sketching.

24 pages · 120 marks · with full solutions · free PDF for IB Mathematics: Analysis and Approaches HL students.

24pages
120marks
3difficulty levels
Yessolutions included
T2Functions

Download the AA HL Quadratic Functions and Graphs worksheet (PDF) ↓   All AA HL worksheets →

What this AA HL quadratic functions and graphs worksheet covers

Quadratics in every form: factorising, completing the square, the discriminant, vertex and sketching. The questions follow the order of the AA 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.

Factorised, vertex and standard forms and converting between them
Completing the square
Discriminant and the number of roots
Sketching with vertex, intercepts and axis of symmetry
Exam tip for this topic. Use the discriminant for any "how many solutions / for what values of k" question.

Preview

How to use it

  1. Do the first band without the AA 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. Mark the third band against the solutions and rewrite every question you lost marks on from a blank page.

More AA HL worksheets on Functions

✓ = solutions included

The same topic for other courses

Questions

Is this AA HL quadratic functions and 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?

Yes, full worked solutions are included at the end of the PDF.

Which IB course is it for?

IB Mathematics: Analysis and Approaches 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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