document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=92023>Question 92023</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help determine whether the graph of y = x^2 + 9 is symmetric with respect to the x-axis, the y-axis, or the origin. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #66856 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=66856\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> determine whether the graph of y = x^2 + 9 is symmetric with respect to the x-axis, the y-axis, or the origin.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-5%2C20%2Cx%5E2%2B9%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-5%2C20%2Cx%5E2%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "To answer the question without graphing check the following:<BR>\n" );
document.write( "f(x) = x^2 + 9<BR>\n" );
document.write( "f(-x) = (-x)^2+9 = x^2+9<BR>\n" );
document.write( "-f(-x) = -[x^2+9] = -x^2-9<BR>\n" );
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document.write( "Since f(x) = f(-x) you have y-axis symmetry<BR>\n" );
document.write( "Since f(x) does not equal -f(-x) you do not have origin symmetry.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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