\documentclass[10pt,a4paper]{article}

% Packages
\usepackage{fancyhdr}           % For header and footer
\usepackage{multicol}           % Allows multicols in tables
\usepackage{tabularx}           % Intelligent column widths
\usepackage{tabulary}           % Used in header and footer
\usepackage{hhline}             % Border under tables
\usepackage{graphicx}           % For images
\usepackage{xcolor}             % For hex colours
%\usepackage[utf8x]{inputenc}    % For unicode character support
\usepackage[T1]{fontenc}        % Without this we get weird character replacements
\usepackage{colortbl}           % For coloured tables
\usepackage{setspace}           % For line height
\usepackage{lastpage}           % Needed for total page number
\usepackage{seqsplit}           % Splits long words.
%\usepackage{opensans}          % Can't make this work so far. Shame. Would be lovely.
\usepackage[normalem]{ulem}     % For underlining links
% Most of the following are not required for the majority
% of cheat sheets but are needed for some symbol support.
\usepackage{amsmath}            % Symbols
\usepackage{MnSymbol}           % Symbols
\usepackage{wasysym}            % Symbols
%\usepackage[english,german,french,spanish,italian]{babel}              % Languages

% Document Info
\author{korygenia (korygenia)}
\pdfinfo{
  /Title (parabola.pdf)
  /Creator (Cheatography)
  /Author (korygenia (korygenia))
  /Subject (Parabola Cheat Sheet)
}

% Lengths and widths
\addtolength{\textwidth}{6cm}
\addtolength{\textheight}{-1cm}
\addtolength{\hoffset}{-3cm}
\addtolength{\voffset}{-2cm}
\setlength{\tabcolsep}{0.2cm} % Space between columns
\setlength{\headsep}{-12pt} % Reduce space between header and content
\setlength{\headheight}{85pt} % If less, LaTeX automatically increases it
\renewcommand{\footrulewidth}{0pt} % Remove footer line
\renewcommand{\headrulewidth}{0pt} % Remove header line
\renewcommand{\seqinsert}{\ifmmode\allowbreak\else\-\fi} % Hyphens in seqsplit
% This two commands together give roughly
% the right line height in the tables
\renewcommand{\arraystretch}{1.3}
\onehalfspacing

% Commands
\newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour
\newcommand{\mymulticolumn}[3]{\multicolumn{#1}{>{\columncolor{\RowColorName}}#2}{#3}} % For coloured multi-cols
\newcolumntype{x}[1]{>{\raggedright}p{#1}} % New column types for ragged-right paragraph columns
\newcommand{\tn}{\tabularnewline} % Required as custom column type in use

% Font and Colours
\definecolor{HeadBackground}{HTML}{333333}
\definecolor{FootBackground}{HTML}{666666}
\definecolor{TextColor}{HTML}{333333}
\definecolor{DarkBackground}{HTML}{27D6BF}
\definecolor{LightBackground}{HTML}{F1FCFB}
\renewcommand{\familydefault}{\sfdefault}
\color{TextColor}

% Header and Footer
\pagestyle{fancy}
\fancyhead{} % Set header to blank
\fancyfoot{} % Set footer to blank
\fancyhead[L]{
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{C}
    \SetRowColor{DarkBackground}
    \vspace{-7pt}
    {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent
        \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}}
    }
\end{tabulary}
\columnbreak
\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Parabola Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{korygenia (korygenia)} via \textcolor{DarkBackground}{\uline{cheatography.com/172748/cs/36309/}}}
\end{tabulary}
\end{multicols}}

\fancyfoot[L]{ \footnotesize
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{LL}
  \SetRowColor{FootBackground}
  \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}}  \\
  \vspace{-2pt}korygenia (korygenia) \\
  \uline{cheatography.com/korygenia} \\
  \end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Not Yet Published.\\
   Updated 30th December, 2022.\\
   Page {\thepage} of \pageref{LastPage}.
\end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}}  \\
  \SetRowColor{white}
  \vspace{-5pt}
  %\includegraphics[width=48px,height=48px]{dave.jpeg}
  Measure your website readability!\\
  www.readability-score.com
\end{tabulary}
\end{multicols}}




\begin{document}
\raggedright
\raggedcolumns

% Set font size to small. Switch to any value
% from this page to resize cheat sheet text:
% www.emerson.emory.edu/services/latex/latex_169.html
\footnotesize % Small font.

\begin{multicols*}{3}

\begin{tabularx}{5.377cm}{x{2.4885 cm} x{2.4885 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{definizioni}}  \tn
% Row 0
\SetRowColor{LightBackground}
{\bf{parabola:}} & luogo geometrico dei {\emph{punti equidistanti}} da una retta direttrice (d) e da un punto F, detto fuoco \tn 
% Row Count 5 (+ 5)
% Row 1
\SetRowColor{white}
{\bf{{\emph{per ricordarsi-{}-\textgreater{}luogo geometrico:}}}} & un luogo geometrico è l'insieme di tutti i punti del piano o dello spazio che godono di una certa proprietà. \tn 
% Row Count 11 (+ 6)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{2.78712 cm} x{2.18988 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Formule-{}-\textgreater{} parabole con asse // asse y}}  \tn
% Row 0
\SetRowColor{LightBackground}
{\bf{eq. parabola-{}-\textgreater{} premessa: }} & y=ax\textasciicircum{}2\textasciicircum{}+bx+c,   con a!=0 \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
{\bf{eq. asse: }} & x=-b/2a \tn 
% Row Count 3 (+ 1)
% Row 2
\SetRowColor{LightBackground}
{\bf{vertice: }} & V(-b/2a; - Δ/4a) \tn 
% Row Count 4 (+ 1)
% Row 3
\SetRowColor{white}
{\bf{fuoco: }} & V(-b/2a; 1-Δ/4a) \tn 
% Row Count 5 (+ 1)
% Row 4
\SetRowColor{LightBackground}
{\bf{eq. direttrice: }} & y=-1+Δ/4a \tn 
% Row Count 6 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{2.10542 cm} x{2.01388 cm} p{0.4577 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{3}{x{5.377cm}}{\bf\textcolor{white}{casi particolari dell'equazione y=a\textasciicircum{}2\textasciicircum{}+bx+c}}  \tn
% Row 0
\SetRowColor{LightBackground}
{\bf{{\emph{caso esaminato-{}-\textgreater{}a sempre !=0}}}} & {\bf{{\emph{elementi parabola}}}} &  \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
b=0 e c!=0 & -\textgreater{} y=a\textasciicircum{}2\textasciicircum{}+c &  \tn 
% Row Count 3 (+ 1)
% Row 2
\SetRowColor{LightBackground}
 & -\textgreater{} V(0;c) &  \tn 
% Row Count 4 (+ 1)
% Row 3
\SetRowColor{white}
 & -\textgreater{}asse=asse y &  \tn 
% Row Count 5 (+ 1)
% Row 4
\SetRowColor{LightBackground}
b!=0 e c=0 & -\textgreater{} y=a\textasciicircum{}2\textasciicircum{}+bx &  \tn 
% Row Count 6 (+ 1)
% Row 5
\SetRowColor{white}
 & -\textgreater{} V(-b/2a;-b\textasciicircum{}2\textasciicircum{}/4a) &  \tn 
% Row Count 8 (+ 2)
% Row 6
\SetRowColor{LightBackground}
 & -\textgreater{}passa per l'origine (0;0) &  \tn 
% Row Count 10 (+ 2)
% Row 7
\SetRowColor{white}
b=0 e c=0 & -\textgreater{} y=a\textasciicircum{}2\textasciicircum{} &  \tn 
% Row Count 11 (+ 1)
% Row 8
\SetRowColor{LightBackground}
 & -\textgreater{} V(0;0) &  \tn 
% Row Count 12 (+ 1)
% Row 9
\SetRowColor{white}
 & -\textgreater{}asse=asse y &  \tn 
% Row Count 13 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}---}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{2.23965 cm} x{2.73735 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{riguardo al segno di a, b, c}}  \tn
% Row 0
\SetRowColor{LightBackground}
{\bf{{\emph{segno di a, b, c...}}}} & {\bf{{\emph{...porta  a:}}}} \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
a\textgreater{}o & concavità verso l'alto \tn 
% Row Count 4 (+ 2)
% Row 2
\SetRowColor{LightBackground}
b\textgreater{}0 & x vertice positiva \tn 
% Row Count 5 (+ 1)
% Row 3
\SetRowColor{white}
b\textless{}0 & x vertice negativa \tn 
% Row Count 6 (+ 1)
% Row 4
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{} \tn 
% Row Count 6 (+ 0)
% Row 5
\SetRowColor{white}
a\textless{}0 & concavità verso il basso \tn 
% Row Count 8 (+ 2)
% Row 6
\SetRowColor{LightBackground}
b\textgreater{}0 & x vertice negativa \tn 
% Row Count 9 (+ 1)
% Row 7
\SetRowColor{white}
b\textless{}0 & x vertice positiva \tn 
% Row Count 10 (+ 1)
% Row 8
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{} \tn 
% Row Count 10 (+ 0)
% Row 9
\SetRowColor{white}
c\textgreater{}0 & interseca asse y positivamente \tn 
% Row Count 12 (+ 2)
% Row 10
\SetRowColor{LightBackground}
c\textless{}0 & interseca asse y negativamente \tn 
% Row Count 14 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}


% That's all folks
\end{multicols*}

\end{document}