✍🏻 GCSE Maths (Foundation): Quadratics and Graphing

Welcome to the exciting world of Quadratics and Graphing! In GCSE Maths (Foundation), this topic introduces you to a special type of equation called a quadratic equation, which usually looks like ax² + bx + c = 0. Unlike linear equations that form straight lines, quadratic equations create unique U-shaped or n-shaped curves when plotted on a graph. These curves are known as parabolas. Understanding quadratics involves learning how to plot these graphs by calculating coordinates from a given equation. You'll often be asked to complete a table of values and then plot these points accurately. Key points to identify on these graphs include the y-intercept (where the graph crosses the y-axis) and the roots (where the graph crosses the x-axis, also known as solutions to the equation). Mastering the basics of plotting and interpreting quadratic graphs is crucial for visualising mathematical relationships and solving problems graphically.