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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?

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?

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?

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?

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?