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.
• Solve quadratic equations using the method of completing the square and formula
• Form quadratic equations from given roots
• Solve quadratic inequalities
• Relate types of roots of quadratic equations to the discriminant value
• Solve problems involving types of roots of quadratic equations
• 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
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