Open in CoCalc
1\documentclass[12pt]{article}
2\usepackage{pstricks}
3\pagestyle{empty}
4\textwidth=1.2\textwidth
5\hoffset=-.7in
6\textheight=1.2\textheight
7\voffset=-.9in
8\begin{document}
9
10
11{\LARGE$$y^2 = x^3 - x$$}
12
13\begin{center}
14\psset{unit=.75in}%,xunit=.5in, yunit=.5in}
15\pspicture(-2,-5)(5,5)
16\psgrid[gridcolor=gray]
17
18\pscircle*[linecolor=red](-1,0){0.1}\rput(-1.5,0.2){$(-1,0)$}
19\pscircle*[linecolor=red](1,0){0.1}\rput(1.5,0.2){$(1,0 20)$}
21
22\psline[linewidth=0.03]{->}(-2,0)(5,0)\rput(5.2,0){$x$}
23\psline[linewidth=0.03]{->}(0,-5)(0,5)\rput(0,5.2){$y$}
24
25\pscurve[linecolor=blue]
26(3.0000,4.8989)
27(2.9500,4.7668)
28(2.9000,4.6356)
29(2.8500,4.5054)
30(2.8000,4.3763)
31(2.7500,4.2481)
32(2.7000,4.1210)
33(2.6500,3.9949)
34(2.6000,3.8698)
35(2.5500,3.7458)
36(2.5000,3.6228)
37(2.4500,3.5008)
38(2.4000,3.3799)
39(2.3500,3.2600)
40(2.3000,3.1411)
41(2.2500,3.0233)
42(2.2000,2.9065)
43(2.1500,2.7907)
44(2.1000,2.6760)
45(2.0500,2.5622)
46(2.0000,2.4494)
47(1.9500,2.3377)
48(1.9000,2.2268)
49(1.8500,2.1169)
50(1.8000,2.0079)
51(1.7500,1.8998)
52(1.7000,1.7924)
53(1.6500,1.6858)
54(1.6000,1.5798)
55(1.5500,1.4744)
56(1.5000,1.3693)
57(1.4500,1.2643)
58(1.4000,1.1593)
59(1.3500,1.0537)
60(1.3000,0.94710)
61(1.2500,0.83852)
62(1.2000,0.72663)
63(1.1500,0.60899)
64(1.1000,0.48062)
65(1.0500,0.32806)
66(1.0000,0)
67(1.0000,0)
68(1.0500,-0.32806)
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74(1.3500,-1.0537)
75(1.4000,-1.1593)
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80(1.6500,-1.6858)
81(1.7000,-1.7924)
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92(2.2500,-3.0233)
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94(2.3500,-3.2600)
95(2.4000,-3.3799)
96(2.4500,-3.5008)
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98(2.5500,-3.7458)
99(2.6000,-3.8698)
100(2.6500,-3.9949)
101(2.7000,-4.1210)
102(2.7500,-4.2481)
103(2.8000,-4.3763)
104(2.8500,-4.5054)
105(2.9000,-4.6356)
106(2.9500,-4.7668)
107(3.0000,-4.8989)
108
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148(-0.10000,-0.31464)
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150
151
152\endpspicture
153
154\vspace{.5in}
155Add $(-1,0)$ and $(1,0)$ together!
156\end{center}
157
158
159
160
161\end{document}
162
163