xxxxxxxxxxg=Graphics()f1(x,y)=x^2+x*y+y^2+2*x+6*y+3f2(x,y)=x^2+x*y-y^2+2*x+6*y+3g+=implicit_plot(f1,(-8,8),(-8,8),color='#3636ff', linewidth=2,linestyle='-.')g+=text('$x^2+xy+y^2+2x+6y+3=0$',(1,-7), color='#3636ff',fontsize=14)g+=implicit_plot(f2,(-8,8),(-8,8),color='#ff36ff', linewidth=4,linestyle=':')g+=text('$x^2+xy-y^2+2x+6y+3=0$',(1,3), color='#ff36ff',fontsize=14)g.show(figsize=[5,5],gridlines=True)