Chapter 2: Quadratic Functions Overview

Additional Mathematics Form 4

Textbook

Chapter 1: Functions

Chapter 2: Quadratic Functions

Chapter 3: Equation Systems

Chapter 4: Indices, Surds and Logarithms

Chapter 5: Progressions

Chapter 6: Linear Law

Chapter 7: Coordinate Geometry

Chapter 8: Vectors

Chapter 9: Solution of Triangles

Chapter 10: Index Numbers

Chapter 2: Quadratic Functions

What you need to learn in this chapter

In this chapter, we will be learning about quadratic functions.

We will start by understanding quadratic equations and inequalities.

We will learn how to solve these equations using the method of completing the square and the quadratic formula.

We will also explore the different types of roots that quadratic equations can have. Additionally, we will learn how to form quadratic equations from given roots.

By the end of this chapter, we will have a solid understanding of quadratic functions and how to work with them.

Topics in this chapter

1. Quadratic Equations and Inequalities

What you will learn in this topic

Solve quadratic equations using the method of completing the square and formula
Form quadratic equations from given roots
Solve quadratic inequalities

2. Types of Roots of Quadratic Equations

What you will learn in this topic

Relate types of roots of quadratic equations to the discriminant value
Solve problems involving types of roots of quadratic equations

3. Quadratic Functions

What you will learn in this topic

Analyse and make generalisation about the effects of changes of a ,b and c in f(x)=ax^2+bx+c towards the shape and position of the graph
Relate the position of the graph of quadratic functions with type of roots
Relate the vertex form of quadratic functions, f(x) = a(x-h)^2 + k with other forms of quadratic functions
Analyse and make generalisation about the effects of changes of h a, dan k in quadratic functions f(x)=a(x-h)^2+k towards the shape and position of the graphs
Sketch graphs of quadratic functions
Solve problems involving quadratic functions