A minimum point on a graph is the lowest point in a specific area, where a curve reaches the 'bottom of a valley' before starting to go up again.
In mathematical terms, it is where the function changes from decreasing to increasing, indicating the lowest value in that section of the graph. If you are dealing with a quadratic curve shaped like a "U", the bottom of the "U" is the minimum point.
Identifying minimum points can help you understand the behaviour of the graph and solve optimisation problems.
Examiner-written GCSE Maths revision resources that improve your grades 2x
- Written by expert teachers and examiners
- Aligned to exam specifications
- Everything you need to know, and nothing you don’t

Share this article