###
**Introduction**

Graphical representation of problems is very
important in engineering problem solving. Plotting the results usually leads to
additional insight into the nature of the problem. So plotting is an important element to use
and become skilled at using with MATLAB.

MATLAB has an excellent set of graphic tools. Plotting a given data set or the results of computation
is possible with very few commands. You may
need multiple plots to occur in a single window, or multiple windows to plot
your functions. You will be able to
label the axis, label the graph, choose colors and symbols for the plot, or use
the default axis and colors. If you have
created a plot, and then enter a second plot command, the first plot will be
overwritten unless you type some special commands to keep the current plot or create
a second Graphics Window.

###
**Basic Plotting**

The MATLAB command to plot a graph is

*plot(x,y)*. A graphics window with a plot of vector*y*versus vector*x*appears in response to this command. For each element of vector*x*, a*y*value must me defined (both*x*and*y*are either row vector s or column vector s of the same length).

**Example**

>>x=linspace(0,4*pi,100);

>>y=sin(x);

>>plot(x,y)

Figure 1 Plot for the vectors x and y=sin(x)

If y is a vector,

*plot(y)*produces a piecewise linear graph of the elements of y versus the index of the elements of y. (In this example there are 100 elements in the vector*y*)
Figure 2: Plot for the vector y

###
**The Plot Command**

The syntax for linear plot command is

*plot (x, y, ‘color style marker’, ‘PropertyName’, PropertyValue )*

The color, style and marker values are optional to
define the properties of the line. The color of a single curve is, by default,
blue. If required these properties are typed inside a single quote. The letters
used to define each property is given Table 1 below. Also the PropertyName and
PropertyValue parameters are optional and are used to specify the line width,
marker size and edge, fill color, etc. First type property name in quote marks
and type the value after a comma. The list of available properties is given in
Table 2.

Table 1 - Color Marker Style Properties and Codes

Table 2 - Other Plot Properties

**Example**

>> plot(x,y,'mx:')

Figure 3 - Plot with Color-Magenta, Marker-x and style dotted

>> plot(x,y,'gh-.')

Figure 4 - Plot with Color-Green, Marker-hexagon and style dash-dot

###
**Adding Title, Axis Label, Legend,…**

Title, labels, etc. can be easily added to the plot
using simple commands. The common commands are listed below.

*X-axis label.**xlabel('text')*adds text beside the X-axis on the current plot.

*Y-axis label.**ylabel('text')*adds text beside the Y-axis on the current plot.

*TITLE**title('Some text')*writes title above plot

*TEXT**text(x,y,'Some text')*places text in figure with first character at (x,y)

*LEGEND**legend('text1','text2',...)*writes legend - For each graph (data set) displays short line in same style as graph line and adds specified text.

**Example**

>> x=linspace(0,4*pi,100);

>> y=sin(x);

>> plot(x,y)

>> xlabel('x (secs)')

>> ylabel('sin(x)')

>> title('plot of sine function')

>> text(pi,0,'zero crossing')

>> legend('sine')

Figure 5. Plot with title and labels

###
**Plot Two or More Curves on Same Window**

More than one plot can be drawn on the same figure
window. This can be done in different
ways.

**The hold command**can be used to keep the existing graph and draw a new curve on the same figure window.

*hold on*- holds the current plot and all axis properties so that subsequent graphing commands add to the existing graph.

*hold off*- returns to the default mode

*hold*- toggles the hold state.

**Example**

>> t=linspace(0,2*pi,100);

>> x= sin(t);

>> y= cos(t);

>> z= tan(t);

>> plot (t,x)

>> hold on

>> plot(t,y)

>> legend('sine','cose')

Figure 6 Multiple plots using HOLD command

**Multiple (x, y) pairs**arguments can create multiple graphs with a single call to

*plot*.

*plot(x, y, u, v, t, h)*plots

*y*vs.

*x*,

*v*vs.

*u*,

*h*vs.

*t.*Vectors of each pair must be same size but can be different than sizes in other pairs.

**Example**

The curves in the previous example can be plot by

>> plot(t,x,'-b', t,y,'--r',t,z,'g:')

>> xlabel ('time')

>> ylabel('trignemetric functions')

>> title('Multiple curves in a plot')

>> legend('sine(t)','cose(t)','tan(t)/10')

Figure 7. Typical example of multiple plots using
single plot command

**Line(x,y)****command**adds additional lines in vectors

*x*and

*y*to an existing plot. The x,y pair can be followed by parameter/value pairs to specify additional properties of the lines.

line(x,y,'PropertyName','PropertyValue')

**Example**

>> plot (t,x)

>> line(t,y)

Figure 8. Example of use of line command (Note: line
command use the default color if not specified)

**subplot(m, n, p)****command**can be used to break the figure window into an

*m*-by-

*n*matrix of small axes and draw different curves in each section specified by third argument

*p.*

**Example**

>> x=-10:10;y=x;z=x.^2;s=x.^3;k=10.^x;

>> subplot(2,2,1), plot(x, y)

>> subplot(2,2,2), plot(x, z)

>> subplot(2,2,3), plot(x, s)

>> subplot(2,2,4), plot(x, k)

Figure 9. Subplot example