document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1138249>Question 1138249</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. <BR>\n" );
document.write( "r = -3 + 3 sin θ	<BR>\n" );
document.write( "choices below<BR>\n" );
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document.write( "y-axis only<BR>\n" );
document.write( " 	<BR>\n" );
document.write( "Origin only<BR>\n" );
document.write( " 	<BR>\n" );
document.write( "x-axis only<BR>\n" );
document.write( " 	<BR>\n" );
document.write( "No symmetry<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #756081 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=756081\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+-3+%2B+3+sin%28+theta%29 ALIGN=MIDDLE  ALT=\"r+=+-3+%2B+3+sin%28+theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >	\r<BR>\n" );
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document.write( "polar plot:\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF=\"http://tinypic.com?ref=nn5nhg\" target=\"_blank\"><IMG STYLE=\"max-width:80%;\" src=\"http://i68.tinypic.com/nn5nhg.gif\" border=\"0\" alt=\"Image and video hosting by TinyPic\"></a>\r<BR>\n" );
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document.write( "test: <BR>\n" );
document.write( "replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta ALIGN=MIDDLE  ALT=\"theta\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-theta ALIGN=MIDDLE  ALT=\"-theta\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "polar plot: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+-3+%2B+3sin%28-theta%29 ALIGN=MIDDLE  ALT=\"r+=+-3+%2B+3sin%28-theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF=\"http://tinypic.com?ref=2lnz8ys\" target=\"_blank\"><IMG STYLE=\"max-width:80%;\" src=\"http://i63.tinypic.com/2lnz8ys.gif\" border=\"0\" alt=\"Image and video hosting by TinyPic\"></a>\r<BR>\n" );
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document.write( "=>polar equation is changed; the graph is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=NOT ALIGN=MIDDLE  ALT=\"NOT\"   DISABLED_style= \"max-width:90%; height:auto;\" > symmetric about the<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x ALIGN=MIDDLE  ALT=\"+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >-axis\r<BR>\n" );
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document.write( "replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta ALIGN=MIDDLE  ALT=\"theta\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28pi-theta%29+ ALIGN=MIDDLE  ALT=\"%28pi-theta%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+-3+%2B+3+sin%28+pi-theta%29 ALIGN=MIDDLE  ALT=\"r+=+-3+%2B+3+sin%28+pi-theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >	\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF=\"http://tinypic.com?ref=2vxgnma\" target=\"_blank\"><IMG STYLE=\"max-width:80%;\" src=\"http://i63.tinypic.com/2vxgnma.gif\" border=\"0\" alt=\"Image and video hosting by TinyPic\"></a>\r<BR>\n" );
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document.write( "and you will see that the graph will not change; the graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=IS ALIGN=MIDDLE  ALT=\"IS\"   DISABLED_style= \"max-width:90%; height:auto;\" > symmetric about the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >-axis\r<BR>\n" );
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