0580/21 Oct/Nov 2025, Question 23: Completed Square Form and Turning Points
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Non-calculator · 4 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Find the coordinates of the turning point of the curve y = 7 − 2x − x².
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 4 marks
- 1dy/dx = −2 − 2x
- 2−2 − 2x = 0, so x = −1
- 3y = 7 − 2(−1) − (−1)² = 7 + 2 − 1 = 8
- 4Turning point (−1, 8)
Answer(−1, 8)
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: 0580/21/O/N/25 · 0580_w25_qp_21 · 0580 w25 21 · question 23.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.