Невозможно построить параболы в массиве

Question

Следующие две TikZсреды должны давать похожие отображения. Я пытаюсь получить пять графиков парабол, каждый на декартовой плоскости, и поместить метку a.), b.), c.), d.) или e.) в верхнем левом углу каждого графика - за пределами среды TikZ.

Первый дисплей использует опции в среде осей, такие как наименование первого графика plot1и перемещение второго графика относительно первого графика с помощью at={($(plot1.east)+(1cm,0)$)}. За исключением размещения меток a.), b.), c.), d.) и e.), это именно то, что мне нужно. Второй использует пакет adjustbox. Каждый график слишком большой, и параболы на каждой декартовой плоскости искусственно смещены. Графики отображаются в нужном мне массиве, а метки a.), b.), c.), d.) или e.) кажутся правильно расположенными.

\documentclass{amsart}
\usepackage{tikz}
\usetikzlibrary{calc,angles,positioning,intersections,quotes,decorations.markings}
\usepackage{adjustbox}
\usepackage{mathtools}

\usepackage{pgfplots}
\pgfplotsset{compat=1.11}

\begin{document}

\noindent This is the left margin. \vskip1.25mm

\begin{tikzpicture}
  \begin{axis}[name=plot1,height=5cm,width=5cm,
    axis lines=middle,
    xmin=-3,xmax=3,samples=201,
    xlabel=$x$,ylabel=$y$,
    ymin=-9,ymax=9,
    restrict y to domain=-9:9,
    enlargelimits={abs=0.5cm},
    axis line style={latex-latex},
    xtick={\empty},ytick={\empty},
    xlabel style={at={(ticklabel* cs:1)},anchor=north west},
    ylabel style={at={(ticklabel* cs:1)},anchor=south west}
    ]
    \addplot[samples=201,domain=-3:3,blue] {5*x^(2)};
  \end{axis}
  \begin{axis}[name=plot2,at={($(plot1.east)+(1cm,0)$)},anchor=west,height=5cm,width=5cm,
    axis lines=middle,
    xmin=-3,xmax=3,samples=201,
    xlabel=$x$,ylabel=$y$,
    ymin=-9,ymax=9,
    restrict y to domain=-9:9,
    enlargelimits={abs=0.5cm},
    axis line style={latex-latex},
    xtick={\empty},ytick={\empty},
    xlabel style={at={(ticklabel* cs:1)},anchor=north west},
    ylabel style={at={(ticklabel* cs:1)},anchor=south west}
    ]
    \addplot[samples=201,domain=-3:3,blue] {-5*x^(2) + 3};
  \end{axis}
  \begin{axis}[name=plot3,at={($(plot1.south)-(0,1cm)$)},anchor=north,height=5cm,width=5cm,
    axis lines=middle,
    xmin=-3,xmax=3,samples=201,
    xlabel=$x$,ylabel=$y$,
    ymin=-9,ymax=9,
    restrict y to domain=-9:9,
    enlargelimits={abs=0.5cm},
    axis line style={latex-latex},
    xtick={\empty},ytick={\empty},
    xlabel style={at={(ticklabel* cs:1)},anchor=north west},
    ylabel style={at={(ticklabel* cs:1)},anchor=south west}
  ]
    \addplot[samples=201,domain=-3:3,blue] {-5*(x^(2) - x)};
  \end{axis}
  \begin{axis}[name=plot4,at={($(plot2.south)-(0,1cm)$)},anchor=north,height=5cm,width=5cm,
    axis lines=middle,
    xmin=-3,xmax=3,samples=201,
    xlabel=$x$,ylabel=$y$,
    ymin=-9,ymax=9,
    restrict y to domain=-9:9,
    enlargelimits={abs=0.5cm},
    axis line style={latex-latex},
    xtick={\empty},ytick={\empty},
    xlabel style={at={(ticklabel* cs:1)},anchor=north west},
    ylabel style={at={(ticklabel* cs:1)},anchor=south west}
    ]
    \addplot[samples=201,domain=-3:3,blue] {5*(x^(2) + x)};
  \end{axis}
    \begin{axis}[name=plot5,at={($(plot3.south)-(0,1cm)$)},anchor=north,height=5cm,width=5cm,
    axis lines=middle,
    xmin=-3,xmax=3,samples=201,
    xlabel=$x$,ylabel=$y$,
    ymin=-6,ymax=6,
    restrict y to domain=-6:6,
    enlargelimits={abs=0.5cm},
    axis line style={latex-latex},
    xtick={\empty},ytick={\empty},
    xlabel style={at={(ticklabel* cs:1)},anchor=north west},
    ylabel style={at={(ticklabel* cs:1)},anchor=south west}
    ]
    \addplot[samples=201,domain=-3:3,blue] {-5*x^(2) - 0.5)};
  \end{axis}
\end{tikzpicture}


\vfill
\pagebreak


\noindent This is the left margin. \vskip1.25mm

a.) \adjustbox{valign=t}{\begin{tikzpicture}
%These commands plot the second parabola on the Cartesian plane.
\draw[draw=gray!30,latex-latex] (0,9) +(0,0.5) node[above right] {$y$} -- (0,-9) -- +(0,-0.5);
\draw[draw=gray!30,latex-latex] (-3,0) +(-0.5,0) -- (3,0) -- +(0.5,0) node[below right] {$x$};
\begin{axis}[hide axis]
\addplot[samples=201,domain=-3:3,blue] {5*x^(2)};\end{axis}
\end{tikzpicture}}
%
b.) \adjustbox{valign=t}{\begin{tikzpicture}
%These commands plot the second parabola on the Cartesian plane.
\draw[draw=gray!30,latex-latex] (0,9) +(0,0.5) node[above right] {$y$} -- (0,-9) -- +(0,-0.5);
\draw[draw=gray!30,latex-latex] (-3,0) +(-0.5,0) -- (3,0) -- +(0.5,0) node[below right] {$x$};
\begin{axis}[hide axis]\addplot[samples=201,domain=-3:3,blue] {-5*x^(2) + 3};\end{axis}
\end{tikzpicture}}
%
c.) \adjustbox{valign=t}{\begin{tikzpicture}
%These commands plot the second parabola on the Cartesian plane.
\draw[draw=gray!30,latex-latex] (0,9) +(0,0.5) node[above right] {$y$} -- (0,-9) -- +(0,-0.5);
\draw[draw=gray!30,latex-latex] (-3,0) +(-0.5,0) -- (3,0) -- +(0.5,0) node[below right] {$x$};
\begin{axis}[hide axis]\addplot[samples=201,domain=-3:3,blue] {-5*(x^(2) - x};\end{axis}
\end{tikzpicture}}
%
d.) \adjustbox{valign=t}{\begin{tikzpicture}
%These commands plot the second parabola on the Cartesian plane.
\draw[draw=gray!30,latex-latex] (0,9) +(0,0.5) node[above right] {$y$} -- (0,-9) -- +(0,-0.5);
\draw[draw=gray!30,latex-latex] (-3,0) +(-0.5,0) -- (3,0) -- +(0.5,0) node[below right] {$x$};
\begin{axis}[hide axis]\addplot[samples=201,domain=-3:3,blue] {5*(x^(2) + x)};\end{axis}
\end{tikzpicture}}
%
e.) \adjustbox{valign=t}{\begin{tikzpicture}
%These commands plot the second parabola on the Cartesian plane.
\draw[draw=gray!30,latex-latex] (0,9) +(0,0.5) node[above right] {$y$} -- (0,-9) -- +(0,-0.5);
\draw[draw=gray!30,latex-latex] (-3,0) +(-0.5,0) -- (3,0) -- +(0.5,0) node[below right] {$x$};
\begin{axis}[hide axis]\addplot[samples=201,domain=-3:3,blue] {-5*x^(2) - 0.5};\end{axis}
\end{tikzpicture}}
\hspace{\fill}

\end{document}

Answer 1

Одним из решений является использование опции масштабирования для среды tikzpicture для уменьшения размера графиков. Я не искал причину для графиков с неверными позициями. Вам нужно очень внимательно проверить несоответствие в области построения и построенном графике.

\documentclass{amsart}
\usepackage{tikz}
\usetikzlibrary{calc,angles,positioning,intersections,quotes,decorations.markings}
\usepackage{adjustbox}
\usepackage{mathtools}

\usepackage{pgfplots}
\pgfplotsset{compat=1.11}

\begin{document}

a.) \adjustbox{valign=t}{\begin{tikzpicture}[scale=.25]
%These commands plot the second parabola on the Cartesian plane.
\draw[draw=gray!30,latex-latex] (0,9) +(0,0.5) node[above right] {$y$} -- (0,-9) -- +(0,-0.5);
\draw[draw=gray!30,latex-latex] (-3,0) +(-0.5,0) -- (3,0) -- +(0.5,0) node[below right] {$x$};
\begin{axis}[hide axis]
\addplot[samples=201,domain=-3:3,blue] {5*x^(2)};\end{axis}
\end{tikzpicture}}
%
b.) \adjustbox{valign=t}{\begin{tikzpicture}[scale=.25]
%These commands plot the second parabola on the Cartesian plane.
\draw[draw=gray!30,latex-latex] (0,9) +(0,0.5) node[above right] {$y$} -- (0,-9) -- +(0,-0.5);
\draw[draw=gray!30,latex-latex] (-3,0) +(-0.5,0) -- (3,0) -- +(0.5,0) node[below right] {$x$};
\begin{axis}[hide axis]\addplot[samples=201,domain=-3:3,blue] {-5*x^(2) + 3};\end{axis}
\end{tikzpicture}}
%
c.) \adjustbox{valign=t}{\begin{tikzpicture}[scale=.25]
%These commands plot the second parabola on the Cartesian plane.
\draw[draw=gray!30,latex-latex] (0,9) +(0,0.5) node[above right] {$y$} -- (0,-9) -- +(0,-0.5);
\draw[draw=gray!30,latex-latex] (-3,0) +(-0.5,0) -- (3,0) -- +(0.5,0) node[below right] {$x$};
\begin{axis}[hide axis]\addplot[samples=201,domain=-3:3,blue] {-5*(x^(2) - x};\end{axis}
\end{tikzpicture}}
%
d.) \adjustbox{valign=t}{\begin{tikzpicture}[scale=.25]
%These commands plot the second parabola on the Cartesian plane.
\draw[draw=gray!30,latex-latex] (0,9) +(0,0.5) node[above right] {$y$} -- (0,-9) -- +(0,-0.5);
\draw[draw=gray!30,latex-latex] (-3,0) +(-0.5,0) -- (3,0) -- +(0.5,0) node[below right] {$x$};
\begin{axis}[hide axis]\addplot[samples=201,domain=-3:3,blue] {5*(x^(2) + x)};\end{axis}
\end{tikzpicture}}
%
e.) \adjustbox{valign=t}{\begin{tikzpicture}[scale=.25]
%These commands plot the second parabola on the Cartesian plane.
\draw[draw=gray!30,latex-latex] (0,9) +(0,0.5) node[above right] {$y$} -- (0,-9) -- +(0,-0.5);
\draw[draw=gray!30,latex-latex] (-3,0) +(-0.5,0) -- (3,0) -- +(0.5,0) node[below right] {$x$};
\begin{axis}[hide axis]\addplot[samples=201,domain=-3:3,blue] {-5*x^(2) - 0.5};\end{axis}
\end{tikzpicture}}
\hspace{\fill}

\end{document}

Вот альтернативный способ отображения парабол. Вам нужно только посмотреть руководство pgfplots относительно опций среды оси, чтобы увидеть другие возможности.

\documentclass{amsart}
\usepackage{tikz}
\usetikzlibrary{calc,angles,positioning,intersections,quotes,decorations.markings}
\usepackage{adjustbox}
\usepackage{mathtools}

\usepackage{pgfplots}
\pgfplotsset{compat=1.11}

\begin{document}
\noindent This is the left margin. \vskip1.25mm

a.) \adjustbox{valign=t}{\begin{tikzpicture}
%These commands plot the second parabola on the Cartesian plane.
\begin{axis}[grid=none,
      mark = none, 
      xmin = -3, ymin = -45,
      xmax = 3,ymax = 45,
      axis lines*=middle,
      enlargelimits=upper,
      clip=false]
\addplot[samples=201,domain=-3:3,blue] {5*x^(2)};\end{axis}
\end{tikzpicture}}
%
b.) \adjustbox{valign=t}{\begin{tikzpicture}
%These commands plot the second parabola on the Cartesian plane.
\begin{axis}[grid=none,
      mark = none, 
      xmin = -3, ymin = -45,
      xmax = 3,ymax = 45,
      axis lines*=middle,
      enlargelimits=upper,
      clip=false]
\addplot[samples=201,domain=-3:3,blue] {-5*x^(2) + 3};\end{axis}
\end{tikzpicture}}
\par
c.) \adjustbox{valign=t}{\begin{tikzpicture}
%These commands plot the second parabola on the Cartesian plane.
\begin{axis}[grid=none,
      mark = none, 
      xmin = -3, ymin = -45,
      xmax = 3,ymax = 45,
      axis lines*=middle,
      enlargelimits=upper,
      clip=false]
\addplot[samples=201,domain=-3:3,blue] {-5*(x^(2) - x};\end{axis}
\end{tikzpicture}}
%
d.) \adjustbox{valign=t}{\begin{tikzpicture}
%These commands plot the second parabola on the Cartesian plane.
\begin{axis}[grid=none,
      mark = none, 
      xmin = -3, ymin = -45,
      xmax = 3,ymax = 45,
      axis lines*=middle,
      enlargelimits=upper,
      clip=false]
\addplot[samples=201,domain=-3:3,blue] {5*(x^(2) + x)};\end{axis}
\end{tikzpicture}}
\par
e.) \adjustbox{valign=t}{\begin{tikzpicture}
%These commands plot the second parabola on the Cartesian plane.
\begin{axis}[grid=none,
      mark = none, 
      xmin = -3, ymin = -45,
      xmax = 3,ymax = 45,
      axis lines*=middle,
      enlargelimits=upper,
      clip=false]
\addplot[samples=201,domain=-3:3,blue] {-5*x^(2) - 0.5};\end{axis}
\end{tikzpicture}}

\end{document}

Диаграмма, использующая первую половину вашего кода.

\documentclass{amsart}
\usepackage{tikz}
\usetikzlibrary{calc,angles,positioning,intersections,quotes,decorations.markings}
\usepackage{adjustbox}
\usepackage{mathtools}

\usepackage{pgfplots}
\pgfplotsset{compat=1.11}

\begin{document}

\noindent This is the left margin. \vskip1.25mm
\begin{tikzpicture}
  \begin{axis}[name=plot1,height=5cm,width=5cm,
    axis lines=middle,
    xmin=-3,xmax=3,samples=201,
    xlabel=$x$,ylabel=$y$,
    ymin=-9,ymax=9,
    restrict y to domain=-9:9,
    enlargelimits={abs=0.5cm},
    axis line style={latex-latex},
    xtick={\empty},ytick={\empty},
    xlabel style={at={(ticklabel* cs:1)},anchor=north west},
    ylabel style={at={(ticklabel* cs:1)},anchor=south west}
    ]
    \addplot[samples=201,domain=-3:3,blue] {5*x^(2)};
    \node at (axis cs:-4.5,14) [anchor= north west] {a.)};
  \end{axis}
  \begin{axis}[name=plot2,at={($(plot1.east)+(1cm,0)$)},anchor=west,height=5cm,width=5cm,
    axis lines=middle,
    xmin=-3,xmax=3,samples=201,
    xlabel=$x$,ylabel=$y$,
    ymin=-9,ymax=9,
    restrict y to domain=-9:9,
    enlargelimits={abs=0.5cm},
    axis line style={latex-latex},
    xtick={\empty},ytick={\empty},
    xlabel style={at={(ticklabel* cs:1)},anchor=north west},
    ylabel style={at={(ticklabel* cs:1)},anchor=south west}
    ]
    \addplot[samples=201,domain=-3:3,blue] {-5*x^(2) + 3};
    \node at (axis cs:-4.5,14) [anchor= north west] {b.)};
  \end{axis}
  \begin{axis}[name=plot3,at={($(plot1.south)-(0,1cm)$)},anchor=north,height=5cm,width=5cm,
    axis lines=middle,
    xmin=-3,xmax=3,samples=201,
    xlabel=$x$,ylabel=$y$,
    ymin=-9,ymax=9,
    restrict y to domain=-9:9,
    enlargelimits={abs=0.5cm},
    axis line style={latex-latex},
    xtick={\empty},ytick={\empty},
    xlabel style={at={(ticklabel* cs:1)},anchor=north west},
    ylabel style={at={(ticklabel* cs:1)},anchor=south west}
  ]
    \addplot[samples=201,domain=-3:3,blue] {-5*(x^(2) - x)};
    \node at (axis cs:-4.5,14) [anchor= north west] {c.)};
  \end{axis}
  \begin{axis}[name=plot4,at={($(plot2.south)-(0,1cm)$)},anchor=north,height=5cm,width=5cm,
    axis lines=middle,
    xmin=-3,xmax=3,samples=201,
    xlabel=$x$,ylabel=$y$,
    ymin=-9,ymax=9,
    restrict y to domain=-9:9,
    enlargelimits={abs=0.5cm},
    axis line style={latex-latex},
    xtick={\empty},ytick={\empty},
    xlabel style={at={(ticklabel* cs:1)},anchor=north west},
    ylabel style={at={(ticklabel* cs:1)},anchor=south west}
    ]
    \addplot[samples=201,domain=-3:3,blue] {5*(x^(2) + x)};
    \node at (axis cs:-4.5,14) [anchor= north west] {d.)};
  \end{axis}
    \begin{axis}[name=plot5,at={($(plot3.south)-(0,1cm)$)},anchor=north,height=5cm,width=5cm,
    axis lines=middle,
    xmin=-3,xmax=3,samples=201,
    xlabel=$x$,ylabel=$y$,
    ymin=-6,ymax=6,
    restrict y to domain=-6:6,
    enlargelimits={abs=0.5cm},
    axis line style={latex-latex},
    xtick={\empty},ytick={\empty},
    xlabel style={at={(ticklabel* cs:1)},anchor=north west},
    ylabel style={at={(ticklabel* cs:1)},anchor=south west}
    ]
    \addplot[samples=201,domain=-3:3,blue] {-5*x^(2) - 0.5)};
    \node at (axis cs:-4.5,9) [anchor= north west] {e.)};
  \end{axis}
\end{tikzpicture}

\end{document}