document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=91772>Question 91772</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello out there,I need some help with some really hard problems,the first one is,Find the axis of symmetry for y=x^-2.The next one is,Find the vertex for y=x^-2.The third one is,Describe how the graph of y=x^2-1 changes from the parent graph of y=x^2.And the last one is,Describe how the graph of y=(xnegative6)+5 changes from the parent graph of y=x^2.Thanks to whoever can help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #66680 by </B><A HREF=/tutors/aboutme.mpl?userid=mathispowerful><B>mathispowerful(115)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathispowerful><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=66680\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Answers:\r<BR>\n" );
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document.write( "1) notice that the exponent is -2, an even number so it is symmetric about y axis\r<BR>\n" );
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document.write( "see graph below:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28200%2C200%2C+-3%2C3%2C+-1%2C10%2C+x%5E-2%29 ALIGN=MIDDLE  ALT=\"graph%28200%2C200%2C+-3%2C3%2C+-1%2C10%2C+x%5E-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2)the vertex is infinity, when x approaches 0, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%28-2%29 ALIGN=MIDDLE  ALT=\"x%5E%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > approaches infinity\r<BR>\n" );
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document.write( "3)If you move the graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%5E2 ALIGN=MIDDLE  ALT=\"y+=+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > one unit to downwards, you get the  <BR>\n" );
document.write( "graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%5E2+-1 ALIGN=MIDDLE  ALT=\"y+=+x%5E2+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "see graph below\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+x%5E2 ALIGN=MIDDLE  ALT=\"+y+=+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > -- red; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%5E2-1 ALIGN=MIDDLE  ALT=\"y+=+x%5E2-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > -- green\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+200%2C200%2C+-3%2C3%2C+-2%2C10%2C+x%5E2%2Cx%5E2-1%29+ ALIGN=MIDDLE  ALT=\"graph%28+200%2C200%2C+-3%2C3%2C+-2%2C10%2C+x%5E2%2Cx%5E2-1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "4) I am not sure if your question is a valid one or not. Basically these two have nothing to do with each other. See graph below.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28200%2C200%2C+-3%2C3%2C+-10%2C30%2C+x%5E2%2Cx%5E-6%2B5%29 ALIGN=MIDDLE  ALT=\"graph%28200%2C200%2C+-3%2C3%2C+-10%2C30%2C+x%5E2%2Cx%5E-6%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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