document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1140689>Question 1140689</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 = 8 cos 3θ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #761406 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=761406\">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.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+8cos+%283theta%29 ALIGN=MIDDLE  ALT=\"r+=+8cos+%283theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "about the x-axis:\r<BR>\n" );
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document.write( " It 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 because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%283theta%29+%3C%3E+-cos%283theta%29 ALIGN=MIDDLE  ALT=\"cos%283theta%29+%3C%3E+-cos%283theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "about the y-axis:\r<BR>\n" );
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document.write( "It  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28is%29 ALIGN=MIDDLE  ALT=\"highlight%28is%29\"   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 because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28cos%283theta%29=cos%283%28-theta%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28cos%283theta%29=cos%283%28-theta%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "about origin: <BR>\n" );
document.write( " for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=8cos+%283theta%29+ ALIGN=MIDDLE  ALT=\"r=8cos+%283theta%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=-r ALIGN=MIDDLE  ALT=\"r=-r\"   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=8cos%283theta%29 ALIGN=MIDDLE  ALT=\"-r=8cos%283theta%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=-8cos%283theta%29 ALIGN=MIDDLE  ALT=\"r=-8cos%283theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>\r<BR>\n" );
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document.write( "it 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=origin ALIGN=MIDDLE  ALT=\"origin\"   DISABLED_style= \"max-width:90%; height:auto;\" > because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%283theta%29%3C%3E-cos%283theta%29 ALIGN=MIDDLE  ALT=\"cos%283theta%29%3C%3E-cos%283theta%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=+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+8cos+%283x%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+8cos+%283x%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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