Repository: ManimCommunity/manim
File: manim/mobject/coordinate_systems.py (Python)

Code before:
        class CoordSysExample(Scene):
            def construct(self):
                # When drawing Axes, the location of the ticks
                # on the axes depend on x_range and y_range.
                grid = Axes(
                    x_range=[0, 1, 0.05],
                    y_range=[0, 1, 0.05],
                    x_length=9,
                    y_length=5.5,
                    axis_config={"decimal_number_config": {"num_decimal_places": 2}},
                    x_axis_config={"numbers_to_include": np.arange(0, 1 + 0.1, 0.1), "number_scale_value": 0.5},
                    y_axis_config={"numbers_to_include": np.arange(0, 1 + 0.1, 0.1), "number_scale_value": 0.5},
                    tips=False,
                )

                graphs = VGroup()
                # Label for x-axis and y-axis.
                grid_labels = grid.get_axis_labels(x_label="x", y_label="y")

                for n in np.arange(0.05, 1 + 0.05, 0.05):
                    graphs += grid.get_graph(lambda x: x ** (1 / n), x_range=[0, 1], color=WHITE)
                    graphs += grid.get_graph(lambda x: x ** (n), x_range=[0, 1], color=WHITE, use_smoothing=False)

                # Extra lines and labels for point (1,1)
                graphs += grid.get_line_from_axis_to_point(0, grid.c2p(1, 1, 0), color=BLUE)
                graphs += grid.get_line_from_axis_to_point(1, grid.c2p(1, 1, 0), color=BLUE)
                graphs += Dot(point=grid.c2p(1, 1, 0), color=YELLOW)
                graphs += Text("(1,1)").scale(0.75).next_to(grid.c2p(1, 1, 0))

                self.add(Title("Graphs of $y = x^n$ and $y = x^{1/n}$ ", include_underline=False), graphs, grid, grid_labels)

    """

    def __init__(
        self,
        x_range=None,
        y_range=None,
        x_length=None,
        y_length=None,
        dimension=2,
    ):
        self.dimension = dimension

        default_step = 1
        if x_range is None:
            x_range = [
                round(-config["frame_x_radius"]),
                round(config["frame_x_radius"]),
                default_step,
            ]
        elif len(x_range) == 2:

Review comment (suggestion):
In my opinion, `get_line_from_axis_to_point` should be considered more of an internal function, so I'd rather `get_vertical_line` and `get_horizontal_line` be used here.

Code after:
        class CoordSysExample(Scene):
            def construct(self):
                # the location of the ticks depends on the x_range and y_range.
                grid = Axes(
                    x_range=[0, 1, 0.05],  # step size determines num_decimal_places.
                    y_range=[0, 1, 0.05],
                    x_length=9,
                    y_length=5.5,
                    axis_config={
                        "numbers_to_include": np.arange(0, 1 + 0.1, 0.1),
                        "number_scale_value": 0.5,
                    },
                    tips=False,
                )

                # Labels for the x-axis and y-axis.
                y_label = grid.get_y_axis_label("y", edge=LEFT, direction=LEFT, buff=0.4)
                x_label = grid.get_x_axis_label("x")
                grid_labels = VGroup(x_label, y_label)

                graphs = VGroup()
                for n in np.arange(1, 20 + 0.5, 0.5):
                    graphs += grid.get_graph(lambda x: x ** n, color=WHITE)
                    graphs += grid.get_graph(
                        lambda x: x ** (1 / n), color=WHITE, use_smoothing=False
                    )

                # Extra lines and labels for point (1,1)
                graphs += grid.get_horizontal_line(grid.c2p(1, 1, 0), color=BLUE)
                graphs += grid.get_vertical_line(grid.c2p(1, 1, 0), color=BLUE)
                graphs += Dot(point=grid.c2p(1, 1, 0), color=YELLOW)
                graphs += Tex("(1,1)").scale(0.75).next_to(grid.c2p(1, 1, 0))
                title = Title(
                    # spaces between braces to prevent SyntaxError
                    r"Graphs of $y=x^{ {1}\over{n} }$ and $y=x^n (n=1,2,3,...,20)$",
                    include_underline=False,
                    scale_factor=0.85,
                )

                self.add(title, graphs, grid, grid_labels)

    """

    def __init__(
        self,
        x_range=None,
        y_range=None,
        x_length=None,
        y_length=None,
        dimension=2,
    ):