# Cubic Function

A cubic function is a polynomial function of degree $3$ .  It can be written in the form $f\left(x\right)=a{x}^{3}+b{x}^{2}+cx+d$ , where $a,b,c$ and $d$ are real numbers and $a\ne 0$ .

It can also be written as $f\left(x\right)=a{\left(x+b\right)}^{3}+c$ , where $a,b$ and $c$ are real numbers and $a\ne 0$ .

Example 1:

Graph the function $f\left(x\right)=-2{\left(x+1\right)}^{3}-3$

Example 2:

Graph the function $f\left(x\right)={x}^{3}-6{x}^{2}+12x-3$