[Tex/LaTex] Displaying two graphs adjacent to each other with their x-axes aligned

tikz-pgf

How do I align the following two graphs so that their x-axes are aligned? In both graphs, the top of the y-axis is higher than I want. It seems to be at a height between 13 and 14. How do I get them to a height of 11?

\documentclass{amsart}
\usepackage{tikz}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}

\begin{document}

\begin{tikzpicture}
\begin{axis}[width=3in,axis equal image,
    axis lines=middle,
    xmin=-4,xmax=8,samples=101,
    xlabel=$x$,ylabel=$y$,
    ymin=-2,ymax=10,
    restrict y to domain=-2:10,
    enlargelimits={abs=1cm},
    axis line style={latex-latex},
    ticklabel style={font=\tiny,fill=white},
    xtick={2,10},ytick={},
    xlabel style={at={(ticklabel* cs:1)},anchor=north west},
    ylabel style={at={(ticklabel* cs:1)},anchor=south west}
]
\addplot [latex-latex,domain=-4:8] {x + 2} node [pos=0.9, anchor=north west, font=\footnotesize] {$y=f(x)$};
\draw [fill=white] (2,4) circle [radius=1.5pt] node[right,font=\tiny]{$(2, \, 4)$};
\end{axis}
\end{tikzpicture}

\begin{tikzpicture}
\begin{axis}[width=3in,axis equal image,
    axis lines=middle,
    xmin=-4,xmax=8,samples=101,
    xlabel=$x$,ylabel=$y$,
    ymin=-2,ymax=10,
    restrict y to domain=-2:10,
    enlargelimits={abs=1cm},
    axis line style={latex-latex},
    ticklabel style={font=\tiny,fill=white},
    xtick={2,10},ytick={},
    xlabel style={at={(ticklabel* cs:1)},anchor=north west},
    ylabel style={at={(ticklabel* cs:1)},anchor=south west}
]
\addplot [latex-latex,domain=-4:8] {x + 2} node [pos=0.9, anchor=north west, font=\footnotesize] {$y=g(x)$};
\draw [fill=white] (2,4) circle [radius=1.5pt] node[right,font=\tiny]{$(2, \, 4)$};
\draw [fill] (2,0) circle [radius=1.5pt];
\end{axis}
\end{tikzpicture}
\hspace{\fill}


\end{document}

Best Answer

To get the max y values to be identical eliminate the enlargelimits and specify the desired ymax=11 for both graphs:

enter image description here

Notes:

  • To get the two graphs to be next to each other, you need to eliminate the blank line between the \end{tikzpicture} and \begin{tikzpicture}.
  • This also necessitated adding a left option to the placement of the graph label.

Code:

\documentclass{amsart}
\usepackage{tikz}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}

\begin{document}

\begin{tikzpicture}
\begin{axis}[width=3in,axis equal image,
    axis lines=middle,
    xmin=-4,xmax=8,samples=101,
    xlabel=$x$,ylabel=$y$,
    ymin=-2,ymax=11,
    restrict y to domain=-2:10,
    %enlargelimits={abs=1cm},
    axis line style={latex-latex},
    ticklabel style={font=\tiny,fill=white},
    xtick={2,10},ytick={},
    xlabel style={at={(ticklabel* cs:1)},anchor=north west},
    ylabel style={at={(ticklabel* cs:1)},anchor=south west}
]
\addplot [latex-latex,domain=-4:8] {x + 2} node [pos=0.9, anchor=north west, font=\footnotesize, left] {$y=f(x)$};
\draw [fill=white] (2,4) circle [radius=1.5pt] node[right,font=\tiny]{$(2, \, 4)$};
\end{axis}
\end{tikzpicture}
%
\begin{tikzpicture}
\begin{axis}[width=3in,axis equal image,
    axis lines=middle,
    xmin=-4,xmax=8,samples=101,
    xlabel=$x$,ylabel=$y$,
    ymin=-2,ymax=11,
    restrict y to domain=-2:10,
   % enlargelimits={abs=1cm},
    axis line style={latex-latex},
    ticklabel style={font=\tiny,fill=white},
    xtick={2,10},ytick={},
    xlabel style={at={(ticklabel* cs:1)},anchor=north west},
    ylabel style={at={(ticklabel* cs:1)},anchor=south west}
]
\addplot [latex-latex,domain=-4:8] {x + 2} node [pos=0.9, anchor=north west, font=\footnotesize, left] {$y=g(x)$};
\draw [fill=white] (2,4) circle [radius=1.5pt] node[right,font=\tiny]{$(2, \, 4)$};
\draw [fill] (2,0) circle [radius=1.5pt];
\end{axis}
\end{tikzpicture}
\end{document}
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