document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=37115>Question 37115</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me out with this one! I've been stuck on it for a while now. Please show all work. I would greatly appreciate any help.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-x%5E2+%2B+4x+-+3 ALIGN=MIDDLE  ALT=\"y+=+-x%5E2+%2B+4x+-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "A)Find the equation for the axis of symmetry.<BR>\n" );
document.write( "B)Find the coordinates of the vertex. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #22818 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=22818\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-x%5E2+%2B+4x+-+3 ALIGN=MIDDLE  ALT=\"y+=+-x%5E2+%2B+4x+-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "first find the roots, if any<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%5E2+%2B+4x+-+3+=+0 ALIGN=MIDDLE  ALT=\"-x%5E2+%2B+4x+-+3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply both sides by -1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+4x+%2B+3+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+4x+%2B+3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+3%29%2A%28x+-+1%29+=+0 ALIGN=MIDDLE  ALT=\"%28x+-+3%29%2A%28x+-+1%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "***note***<BR>\n" );
document.write( "the above equation with the signs reversed is ONLY for finding<BR>\n" );
document.write( "the roots - it is not for anything else - the actual equation is<BR>\n" );
document.write( "the one you started with<BR>\n" );
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document.write( "the roots are +3 and +1<BR>\n" );
document.write( "those are the values for x that make the above true<BR>\n" );
document.write( "the axis of sym will be in the middle of the roots<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r1+%2B+r2%29+%2F+2+=+a ALIGN=MIDDLE  ALT=\"%28r1+%2B+r2%29+%2F+2+=+a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283+%2B+1%29+%2F+2+=+%2B2 ALIGN=MIDDLE  ALT=\"%283+%2B+1%29+%2F+2+=+%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The equation of the axis of symmety is x = 2<BR>\n" );
document.write( "The vertex is on the axis of symmetry, so<BR>\n" );
document.write( "find what y is when x = 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-%282%5E2%29+%2B+4%282%29+-+3 ALIGN=MIDDLE  ALT=\"y+=+-%282%5E2%29+%2B+4%282%29+-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-4+%2B8+-+3 ALIGN=MIDDLE  ALT=\"y+=+-4+%2B8+-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%2B1 ALIGN=MIDDLE  ALT=\"y+=+%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, the vertex is at (2,1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-2%2C+5%2C+-5%2C+2%2C+-%28x%5E2%29+%2B4%2Ax+-3%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-2%2C+5%2C+-5%2C+2%2C+-%28x%5E2%29+%2B4%2Ax+-3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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