• I think I have missed it but we use .plot to Plotsss and get graphs. So whenever I say graph I mean the return value of .plot, it returns parametric function.

• We have 2 ways to create coordinate systems, one of them is NumberPlane and the other one is Axes, I will show what both looks like here:

• One thing I would mention is when you assign coordinates to shift like I am doing here, we use c2p, which literally means cords to points, it is in reference "to" the mobject and not to the coordinate system, so I have shown example in this one how it works. Here are more point generations Points Generation.

• And also Working with Graphs and Integrals.

c2p || NumberPlane

from manim import *

class SpeedExample(Scene):

def construct(self):

dot = Dot(color=YELLOW)

cordinatesystems = NumberPlane(

x_length=10,

y_length=10,

x_range=[-10, 10, 1],

y_range=[-10, 10, 1],

axis_config={"color": WHITE},

);

NumberPlane.add_coordinates(cordinatesystems)

self.add(cordinatesystems)

self.play(Create(dot))

self.play(dot.animate.shift(cordinatesystems.c2p(2, 3)))

self.play(dot.animate.shift(cordinatesystems.c2p(2, 0)))

self.play(dot.animate.shift(cordinatesystems.c2p(-6, -3)),run_time = 3)

# self.wait(1)

self.remove(dot, cordinatesystems)

self.wait(1)

Grid = Axes(

x_length=10,

y_length=10,

x_range=[-10, 10, 1],

y_range=[-10, 10, 1],

axis_config={"color": WHITE},

);

dot = Dot(color=YELLOW)

self.add(Grid)

self.play(Create(dot))

self.play(dot.animate.shift(Grid.c2p(2, 3)))

self.play(dot.animate.shift(Grid.c2p(-2, -3)))

self.wait(1)

get_graph_label || get_T_label || get_area

• How get_area works is:

  • it takes the function as the first parameter, x_range as the second,color and opacity are not necessary,but you can add them as well.
  • get_T_label:
    • Creates a labelled triangle marker with a vertical line from the x-axis to a curve at a given x-value. It takes the function as graph = $f(x)$ and where do you want the label to be , here I have used Pi/2, you can use anything almost.

• get_graph_label:

  • Creates a label at the graph where you have specified the x, for example in this code we are generating the label in the graph "sinfunc" where x = pi/2, and you add the label as Text or MathTex, whichever suits your needs the best.

  from manim import *
  
  
  class Area(Scene):
  
  def construct(self):
  
  grid = Axes(
  
  x_length=12,
  
  y_length=6,
  
  x_range=[-6, 6, 1],
  
  y_range=[-3, 3, 1],
  
  axis_config={"color": WHITE},
  
  );
  
  grid.add_coordinates()
  
  # grid.shift(2*DOWN)
  
  sinfunc = grid.plot(lambda x:2*np.sin(x),color = YELLOW)
  
  area = grid.get_area(sinfunc,
  
  x_range=(PI / 2,4),
  
  color=(BLUE),
  
  opacity=0.6,
  
  )
  
  horizontal_line = grid.get_horizontal_line(grid.input_to_graph_point(PI / 2, sinfunc), color=YELLOW)
  
  graphlabel = grid.get_graph_label(sinfunc,label= MathTex(r"\frac{\pi}{2}"), x_val=PI/2,color=BLUE)
  
  tlabel = grid.get_T_label(x_val=PI/2,graph=sinfunc,line_color=BLUE)
  
  self.add(grid)
  
  self.play(Create(sinfunc))
  
  self.play(Create(area),run_time = 4)
  
  self.remove(area)
  
  self.play(Create(horizontal_line),Create(graphlabel),Create(tlabel),run_time =5)
  
  self.wait()