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y(k,x)=x^2*k^2-12*x^2+k^2*x-3*sqrt(3)*k*x+6*x+k^2-sqrt(3)*k-6
pretty_print(html('<p>$y=%s$</p>'%latex(y(k,x))))
n=31; k=[.12*i for i in [0..n]]
c=[colormaps.hsv(.03*i)[:3] for i in [0..n]]
p=sum([plot(y(k[i],x),(x,-2,2),color=c[i],
legend_label='%.2f'%k[i]) for i in [0..n]])
p.set_legend_options(loc=(1.1,-.1))
p.show(ymin=-8,ymax=2,figsize=(6,5),gridlines=True)
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