0580/22 Oct/Nov 2025, Question 22: Completed Square Form and Turning Points
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Non-calculator · 3 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
A curve y = x² + bx + c has its minimum at (−5, 12). Find the constants b and c.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 3 marks
- 1Minimum at (−5, 12), so y = (x + 5)² + 12
- 2= x² + 5x + 5x + 25 + 12 = x² + 10x + 37
- 3b = 10, c = 37
Answerb = 10, c = 37
Stuck on a step? Read the free lesson: Completed Square Form and Turning Points
Practise more completed square form and turning points questions
Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on completed square form and turning points
Also searched as: 0580/22/O/N/25 · 0580_w25_qp_22 · 0580 w25 22 · question 22.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.