document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=997304>Question 997304</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am trying to find the vertex as well as the equation of symmetry but I am not coming up with the same answer as the answer key. Can you help me. The equation is:<BR>\n" );
document.write( "y=x^2+10x I am thinking that I have to add c so that it looks like: x^2+10x+0.<BR>\n" );
document.write( "Then I use the the formula x=-b/2a and I get x=-5. But the y is the elusive one because the answer key is saying that y=-225 and I don't see how they got that. Can you show me? <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 #615452 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=615452\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> THE NO FORMULA WAY:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2%2B10x ALIGN=MIDDLE  ALT=\"y=x%5E2%2B10x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You realize that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B10x ALIGN=MIDDLE  ALT=\"x%5E2%2B10x\"   DISABLED_style= \"max-width:90%; height:auto;\" > looks a  lot like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B10x%2B25=%28x%2B5%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B10x%2B25=%28x%2B5%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > , so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2%2B10x ALIGN=MIDDLE  ALT=\"y=x%5E2%2B10x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2%2B10x%2B25-25 ALIGN=MIDDLE  ALT=\"y=x%5E2%2B10x%2B25-25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x%2B5%29%5E2-25 ALIGN=MIDDLE  ALT=\"y=%28x%2B5%29%5E2-25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then, you realize that for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B5=0 ALIGN=MIDDLE  ALT=\"x%2B5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-4 ALIGN=MIDDLE  ALT=\"x=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > has its minimum value, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=25 ALIGN=MIDDLE  ALT=\"y=25\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "which means that the vertex is (-5,25),<BR>\n" );
document.write( "and that the answer key is plain wrong.<BR>\n" );
document.write( "You also realize that you have symmetrical points to either side of the vertical line<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-5 ALIGN=MIDDLE  ALT=\"x=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > , which is the axis of symmetry. </SPAN>\n" );
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