To plot the graph of a quadratic function you must first create a table of values. Then choose suitable axes that will allow all these values to be plotted. Plot the values, then draw a smooth curve through the points.
Summary/Background
These curves are called quadratic curves. When you plot them on a graph they are shaped like a hill or a valley. They always have a vertical line of symmetry going down through the middle.
Software/Applets used on this page
This question appears in the following syllabi:
Syllabus | Module | Section | Topic | Exam Year |
---|---|---|---|---|
AQA GCSE (9-1) Foundation (UK) | A: Graphs | A12: Sketching Graphs of Functions | Graphs of Quadratics | - |
CBSE IX (India) | Algebra | Polynomials | Constant, linear, quadratic and cubic | - |
CIE IGCSE (9-1) Maths (0626 UK) | 2 Algebra and Graphs | B2.10 Further Graphing | Graphs of Quadratics | - |
Edexcel GCSE (9-1) Foundation (UK) | A: Graphs | A12: Sketching Graphs of Functions | Graphs of Quadratics | - |
GCSE Foundation (UK) | Algebra | Graphs | Quadratic curves | - |
GCSE Higher (UK) | Algebra | Graphs | Quadratic curves | - |
OCR GCSE (9-1) Foundation (UK) | 7: Graphs of Equations and Functions | 7.01b: Graphs of Equations and Functions | Graphs of Quadratics | - |
Universal (all site questions) | G | Graphs | Quadratic curves | - |