# Revision history [back]

### How to restrict the range of a parametric plot and draw the branches in different colors

Hi The following plot

var('t')
parametric_plot( (8*(6+t)/(t^2-16), 2*(8+ 3 *t)/(t^2-16)), (t, -6, 6),detect_poles=True)


has three branches. 1) For some reason, the result is not correct. Restricting via

var('t')
parametric_plot( (8*(6+t)/(t^2-16), 2*(8+ 3 *t)/(t^2-16)), (t, -6, 6),xmin=-3,xmax=3)


also fails How to plot the branches in different colors?

### How to restrict the range of a parametric plot and draw the branches in different colors

Hi The following plot

var('t')
parametric_plot( (8*(6+t)/(t^2-16), 2*(8+ 3 *t)/(t^2-16)), (t, -6, 6),detect_poles=True)
6),,xmin=-3,xmax=3,detect_poles=True)


has three branches. 1) For some reason, the result plot is not correct. Restricting viaAlso

var('t')
parametric_plot( (8*(6+t)/(t^2-16), 2*(8+ 3 *t)/(t^2-16)), (t, -6, 6),xmin=-3,xmax=3)
6),xmin=-3,xmax=3,ymin=-3,ymax=3)


also fails How fails. 2)How to plot the branches in different colors?

### How to restrict the range of a parametric plot and draw the branches in different colors

Hi The following plot

var('t')
parametric_plot( (8*(6+t)/(t^2-16), 2*(8+ 3 *t)/(t^2-16)), (t, -6, 6),,xmin=-3,xmax=3,detect_poles=True)


has three branches. 1) For some reason, the plot is not correct. Also

var('t')
parametric_plot( (8*(6+t)/(t^2-16), 2*(8+ 3 *t)/(t^2-16)), (t, -6, 6),xmin=-3,xmax=3,ymin=-3,ymax=3)


fails. 2)How to plot the branches in different colors?

### How to restrict A parametric plot with branches for which restricting the range of a parametric plot and draw the branches in different colorswith xmin, xmax doesn't work

Hi The following plot

var('t')
parametric_plot( (8*(6+t)/(t^2-16), 2*(8+ 3 *t)/(t^2-16)), (t, -6, 6),,xmin=-3,xmax=3,detect_poles=True)
6),xmin=-3,xmax=3,detect_poles=True)


has three branches. 1) For some reason, the plot is not correct. Also

var('t')
parametric_plot( (8*(6+t)/(t^2-16), 2*(8+ 3 *t)/(t^2-16)), (t, -6, 6),xmin=-3,xmax=3,ymin=-3,ymax=3)


fails. 2)How to plot the branches in different colors?

### A parametric plot with branches for which restricting the range with xmin, xmax doesn't work

Hi The following plot

var('t')
parametric_plot( (8*(6+t)/(t^2-16), 2*(8+ 3 *t)/(t^2-16)), (t, -6, 6),xmin=-3,xmax=3,detect_poles=True)


has three branches. 1) For some reason, the plot is not correct. Also

var('t')
parametric_plot( (8*(6+t)/(t^2-16), 2*(8+ 3 *t)/(t^2-16)), (t, -6, 6),xmin=-3,xmax=3,ymin=-3,ymax=3)


fails. 2)How to plot the branches in different colors?colors? 3) Can I add a point moved by a cursor when t increases, like with the Mathematica command Manipulate? Or make an animation to show how a point traverses the three branches?