MA16-02 Maths Coming soon
Roots, Y-Intercept and Turning Point of a Quadratic Graph
MA16-02
This lesson is coming soon.
In this lesson
Identify the roots, y-intercept and turning point of a quadratic graph from a sketch, and deduce the roots algebraically by factorising.
What it covers
- Defining and locating the roots (x-axis crossings), y-intercept (y-axis crossing) and turning point (vertex) on a sketched quadratic graph
- Deducing the roots algebraically by factorising the quadratic and setting each factor to zero
- The habit of substituting the x-coordinate back into the equation to find the turning point's y-coordinate, rather than estimating it by eye from the axis scale
- Distinguishing roots (x-values or coordinate pairs on the x-axis) from the y-intercept (a single point on the y-axis) as separate, non-interchangeable answers
Key words
For: AQA GCSE 8300, Edexcel GCSE 1MA1, Eduqas GCSE C300, OCR GCSE J560, Edexcel IGCSE 4MA1, Cambridge IGCSE 0580
On the specification
| Board | Spec | Statement |
|---|---|---|
| AQA GCSE 8300 | A11 | Identify and interpret roots, intercepts and turning points of quadratic functions graphically |
| Edexcel GCSE 1MA1 | A11 | Identify and interpret roots, intercepts, turning points of quadratic functions graphically; deduce roots algebraically |
| Eduqas GCSE C300 | FA11 | Identify and interpret roots, intercepts, turning points (stationary points) of quadratic functions graphically; deduce roots algebraically |
| Eduqas GCSE C300 | HA11 | Identify and interpret roots, intercepts, turning points (stationary points) of quadratic functions graphically; deduce roots algebraically, turning points (stationary points) by completing the square |
| OCR GCSE J560 | 7.01c | Recognise and sketch the graphs of simple linear and quadratic functions. |
| Edexcel IGCSE 4MA1 | F3.3I | Recognise, generate points and plot graphs of linear and quadratic functions |
| Cambridge IGCSE 0580 | C2.10 | Graphs of functions |
| Cambridge IGCSE 0580 | E2.10 | Graphs of functions |
For teachers
This GCSE Maths lesson teaches roots, y-intercept and turning point of a quadratic graph. By the end, students should be able to identify the roots, y-intercept and turning point of a quadratic graph from a sketch, and deduce the roots algebraically by factorising. It works through two worked examples and the mistakes examiners report.