Which of these functions has a U-shaped (parabolic) graph?
Launching your learning experience…
Exam Season Offer 🎯 Sign up today & get 15% OFF on Yearly Plan
Practise IGCSE 0580 questions in the style of recent Extended past papers, organised by syllabus subtopic. Each set comes with an examiner-style mark scheme and a downloadable worksheet.
Everything students ask about Cambridge IGCSE 0580 Graphs of functions Topical Past Papers.
Top questions students ask on this sub-topic
These Graphs of functions Topical Past Paper Questions are written in the style of recent Cambridge IGCSE Mathematics 0580 Extended papers and grouped by the Algebra and graphs (E2.10) section of the 2025–2027 syllabus. Use them to revise the exact skills examiners test in this part of the course.
Each question is graded Easy → Medium → Hard, plus an A★ Challenge for top-grade preparation. Tap a question to mark your own answer, then unlock the examiner-style mark scheme with model solutions and examiner tips. A printable Topical Past Papers worksheet is included so you can practise offline.
Construct tables of values and draw, recognise and interpret graphs of polynomial, reciprocal and (Extended) exponential functions; solve associated equations graphically.
Which of these functions has a U-shaped (parabolic) graph?
For the function y = x² − 2, find the value of y when x = 3.
[1 mark]The graph of y = x² − 4x + 3 passes through the point (5, k). Find the value of k.
[2 marks]Find the x-coordinates where the graph of y = x² − 5x + 6 crosses the x-axis.
[2 marks]The graph of y = 2^x is best described as:
Consider the function y = 12/x, for x > 0.
Complete the table by finding y when x = 3 and when x = 4.
[2 marks]As x increases, what happens to y? Describe in one sentence.
[1 mark]Find the x-coordinates of the points of intersection of the curves y = x² and y = 4.
[2 marks]The graph of y = x² + bx + c has roots at x = 2 and x = −5. Find the values of b and c.
[2 marks]