IB Mathematics (SL)/Functions and Equations

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Topic 2 - Functions and Equations

Introduction

The general aim of this section is to explore the notion of function as a unifying theme. Additionally, candidates should be able to apply functional methods to a variety of situations. Use of a GDC (Graphing Display Calculator) is expected.

The Quadratic Function

Standard Form

$y=a{x}^2+bx+c$

Vertex or Turning Point Form

$y=a(x-h{)}^2+k$ , where (h,k) is the vertex

$(h,k)=(\frac{-b}{2a},\frac{4ac-b^2}{4a})$