A calculus of the absurd

4.3 Quadratics

4.3.1 Introduction

A quadratic is an equation in the form

\begin{equation} y = ax^2 + bx + c \end{equation}

One example quadratic is

\begin{equation} y = x^2 \end{equation}

Note that “\(\cdot \)” is the same as “\(\times \)”.

We can find the value of this at different points - for example, when \(x=1\), then \(y=1\), when \(x=4\) then \(y=4\cdot 4=16\) and when \(x=3.123\) then \(y=3.123\cdot 3.123=9.753129\).

We can also plot them on a graph. For example, the quadratic \(y=x^2\) looks like

(-tikz- diagram)