17.1 Introduction to Quadratic Curves A quadratic curve is one of the most important types of graphs in Cambridge O…

2.1 Introduction to Sets Venn diagrams are one of the easiest ways to understand sets visually. Instead of only reading…

13.8 Mapping in Functions A mapping is a way of showing how each input in a function is connected to…

Domain Restrictions A domain restriction tells us which input values are not allowed in a function. Remember: Domain = the…

13.6 Composite Functions A composite function is formed when one function is applied after another. The most important idea is…

Inverse Functions An inverse function reverses the effect of a function. If a function takes an input and changes it…

Range of a Function The range of a function is the set of all possible output values produced by the…

Domain of a Function The domain of a function is the set of all input values that are allowed to…

Function Notation Function notation is a compact way of showing a rule that changes an input into an output. In…

Introduction to Functions Functions are an important part of Cambridge O Level Mathematics D. A function is simply a rule…

Exponential Sequences An exponential sequence is a sequence where each term is found by multiplying the previous term by the…

12.5 Cubic Sequences A cubic sequence is a sequence in which the third difference is constant. Cubic sequences are more…

Quadratic Sequences A quadratic sequence is a sequence where the second difference is constant. Unlike a linear sequence, the first…

12.3 Linear Sequences Linear sequences are one of the most important sequence types in Cambridge O Level Mathematics D. If…

12.2 Term-to-Term Rules A term-to-term rule tells us how to get from one term in a sequence to the next.…

12.1 Introduction to Sequences Sequences are an important part of Cambridge O Level Mathematics D. A sequence is simply a…

Common Mistakes When Drawing Quadratic Graphs Drawing a quadratic graph is not difficult, but small plotting errors can make the…

18.6 Estimating the Gradient of a Quadratic Curve Using a Tangent 🟦 Concept A quadratic graph is a curve, so…

19.1 How to Plot a Quadratic Graph Using a Table of Values 🟦 Concept A quadratic graph can be drawn…

17.8 How ‘a‘ Changes the Width of a Parabola 🟦 Concept A quadratic equation can be written as:y=ax2+bx+cy=ax^2+bx+c The coefficient…

18.3 why a normal quadratic has −∞<x<∞ 🟦 Concept The domain of a graph is the set of all possible…

18.2 How Many Roots Can a Quadratic Graph Have? 🟦 Concept A root of a quadratic graph is an xx-value…

17.5 Standard Form vs Factorised Form vs Vertex Form 1. Standard Form y=ax2+bx+cy=ax^2+bx+c This equation can be used to find…

18.1 How to Find the y-Intercept of a Quadratic Graph 🟦 Concept The y-intercept is the point where a quadratic…

17.4 What is cc in a Quadratic Equation? In the quadratic equationy=ax2+bx+cy=ax^2+bx+c the c is the constant term. It is…

17.3 What is ‘b’ in Quadratic Equaton? In a quadratic equation,y=ax2+bx+cy=ax^2+bx+c the b is the coefficient of xx. For example,…

17.2 What is ‘a’ in Quadratic Equation? In a quadratic equation,y=ax2+bx+cy=ax^2+bx+c the a is the coefficient of x2x^2. It is…

18.5 Finding the Equation of the Graph A quadratic graph gives us important information about its equation. If we can…

19.2 How to Draw a Quadratic Graph? A quadratic graph may look complicated at first, but it becomes much easier…

Symmetry in a Quadratic Curve A quadratic curve is symmetrical about a vertical line that passes through its turning point.…

17.7 Quadratic Curve When It Opens Downwards 🟦 Concept A quadratic equation can be written in the general form:y=ax2+bx+cy=ax^2+bx+c The…

17.6 Quadratic Curve When It Opens Upwards 🟦 Concept A quadratic equation can be written in the form:y=ax2+bx+cy=ax^2+bx+c The value…

17.10 Turning Point of a Quadratic Curve 🟦 Concept A turning point is the point on a quadratic curve where…

18.4 Range of a Quadratic Graph The range of a quadratic graph is the set of all possible y-values that…