document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1048459>Question 1048459</A>: <I><SPAN STYLE=\"word-break: break-all;\"> y=3x^2 + 15x + 9\r<BR>\n" );
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document.write( "Find the vertex and if it is maximum or minimum \r<BR>\n" );
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document.write( "Do it by finding the square please! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #664040 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</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=664040\">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=3x%5E2+%2B+15x+%2B+9 ALIGN=MIDDLE  ALT=\"y=3x%5E2+%2B+15x+%2B+9\"   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=y=3%28x%5E2+%2B+5x%29+%2B+9 ALIGN=MIDDLE  ALT=\"y=3%28x%5E2+%2B+5x%29+%2B+9\"   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=y=3%28x%5E2+%2B+5x%2Bb%5E2%29-3b%5E2+%2B+9 ALIGN=MIDDLE  ALT=\"y=3%28x%5E2+%2B+5x%2Bb%5E2%29-3b%5E2+%2B+9\"   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=y=3%28x%5E2+%2B+5x%2Bb%5E2%29-3b%5E2+%2B+9 ALIGN=MIDDLE  ALT=\"y=3%28x%5E2+%2B+5x%2Bb%5E2%29-3b%5E2+%2B+9\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> compare <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2+%2B+5x%2Bb%5E2%29 ALIGN=MIDDLE  ALT=\"%28x%5E2+%2B+5x%2Bb%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5E2+%2B+2ab%2Bb%5E2%29 ALIGN=MIDDLE  ALT=\"%28a%5E2+%2B+2ab%2Bb%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you see that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=1 ALIGN=MIDDLE  ALT=\"a=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2ab=5 ALIGN=MIDDLE  ALT=\"2ab=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >; so, find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   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=2%2A1%2Ab=5 ALIGN=MIDDLE  ALT=\"2%2A1%2Ab=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >-><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=5%2F2 ALIGN=MIDDLE  ALT=\"b=5%2F2\"   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=y=3%28x%5E2+%2B+5x%2B%285%2F2%29%5E2%29-3%285%2F2%29%5E2+%2B+9 ALIGN=MIDDLE  ALT=\"y=3%28x%5E2+%2B+5x%2B%285%2F2%29%5E2%29-3%285%2F2%29%5E2+%2B+9\"   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=y=3%28x%2B+5%2F2%29%5E2-3%2825%2F4%29+%2B+9 ALIGN=MIDDLE  ALT=\"y=3%28x%2B+5%2F2%29%5E2-3%2825%2F4%29+%2B+9\"   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=y=3%28x%2B+5%2F2%29%5E2-75%2F4+%2B+36%2F4 ALIGN=MIDDLE  ALT=\"y=3%28x%2B+5%2F2%29%5E2-75%2F4+%2B+36%2F4\"   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=y=3%28x%2B+5%2F2%29%5E2-39%2F4 ALIGN=MIDDLE  ALT=\"y=3%28x%2B+5%2F2%29%5E2-39%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "compare to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x-+h%29%5E2%2Bk ALIGN=MIDDLE  ALT=\"y=a%28x-+h%29%5E2%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k ALIGN=MIDDLE  ALT=\"k\"   DISABLED_style= \"max-width:90%; height:auto;\" > are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > coordinate of the vertex, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3E0 ALIGN=MIDDLE  ALT=\"a%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > which means function has minimum \r<BR>\n" );
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document.write( "in your case <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=-5%2F2 ALIGN=MIDDLE  ALT=\"h=-5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=-39%2F4 ALIGN=MIDDLE  ALT=\"k=-39%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "so, the vertex is at (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%2F2 ALIGN=MIDDLE  ALT=\"-5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-39%2F4 ALIGN=MIDDLE  ALT=\"-39%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >) or (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2.5 ALIGN=MIDDLE  ALT=\"-2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-9.75 ALIGN=MIDDLE  ALT=\"-9.75\"   DISABLED_style= \"max-width:90%; height:auto;\" >) and it is a minimum \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+-12%2C+10%2C+3%28x%2B+5%2F2%29%5E2-39%2F4%29+ ALIGN=MIDDLE  ALT=\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-12%2C+10%2C+3%28x%2B+5%2F2%29%5E2-39%2F4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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