document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179958>Question 1179958</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A quadratic function has zeros 3 and 9. It passes through point (6, 11).<BR>\n" );
document.write( "What is the vertex of the graph? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #809512 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=809512\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=a%28x-x%5B1%5D%29%28x-x%5B2%5D%29 ALIGN=MIDDLE  ALT=\"f%28x%29=a%28x-x%5B1%5D%29%28x-x%5B2%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >->has zeros <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D=3+ ALIGN=MIDDLE  ALT=\"x%5B1%5D=3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D=9 ALIGN=MIDDLE  ALT=\"x%5B2%5D=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=f%28x%29=a%28x-3%29%28x-9%29 ALIGN=MIDDLE  ALT=\"f%28x%29=a%28x-3%29%28x-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....passes through point (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11 ALIGN=MIDDLE  ALT=\"11\"   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=11=a%286-3%29%286-9%29 ALIGN=MIDDLE  ALT=\"11=a%286-3%29%286-9%29\"   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=11=a%283%29%28-3%29 ALIGN=MIDDLE  ALT=\"11=a%283%29%28-3%29\"   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=11=-9a ALIGN=MIDDLE  ALT=\"11=-9a\"   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=a=-11%2F9 ALIGN=MIDDLE  ALT=\"a=-11%2F9\"   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=f%28x%29=-%2811%2F9%29%28x-3%29%28x-9%29 ALIGN=MIDDLE  ALT=\"f%28x%29=-%2811%2F9%29%28x-3%29%28x-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >........write it in vertex form\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=+-%2811%2F9%29+%28x%5E2+-+12x+%2B+27%29 ALIGN=MIDDLE  ALT=\"f%28x%29=+-%2811%2F9%29+%28x%5E2+-+12x+%2B+27%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........complete square\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=+-%2811%2F9%29+%28%28x%5E2+-+12x%2Bb%5E2%29-b%5E2+%2B+27%29 ALIGN=MIDDLE  ALT=\"f%28x%29=+-%2811%2F9%29+%28%28x%5E2+-+12x%2Bb%5E2%29-b%5E2+%2B+27%29\"   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=f%28x%29=+-%2811%2F9%29+%28%28x%5E2+-+12x%2B6%5E2%29-6%5E2+%2B+27%29 ALIGN=MIDDLE  ALT=\"f%28x%29=+-%2811%2F9%29+%28%28x%5E2+-+12x%2B6%5E2%29-6%5E2+%2B+27%29\"   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=f%28x%29=+-%2811%2F9%29+%28%28x+-+6%29%5E2-36+%2B+27%29 ALIGN=MIDDLE  ALT=\"f%28x%29=+-%2811%2F9%29+%28%28x+-+6%29%5E2-36+%2B+27%29\"   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=f%28x%29=+-%2811%2F9%29+%28%28x+-+6%29%5E2-9%29 ALIGN=MIDDLE  ALT=\"f%28x%29=+-%2811%2F9%29+%28%28x+-+6%29%5E2-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...take <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-9 ALIGN=MIDDLE  ALT=\"-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > out\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=+-%2811%2F9%29+%28%28x+-+6%29%5E2%29-%2811%2F9%29%28-9%29 ALIGN=MIDDLE  ALT=\"f%28x%29=+-%2811%2F9%29+%28%28x+-+6%29%5E2%29-%2811%2F9%29%28-9%29\"   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=f%28x%29=+-%2811%2F9%29+%28%28x+-+6%29%5E2%29%2B11 ALIGN=MIDDLE  ALT=\"f%28x%29=+-%2811%2F9%29+%28%28x+-+6%29%5E2%29%2B11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the vertex of the graph is at (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11 ALIGN=MIDDLE  ALT=\"11\"   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=+drawing%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+15%2C%0D%0Acircle%286%2C11%2C.12%29%2Clocate%286%2C11%2CV%286%2C11%29%29%2C%0D%0Agraph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+15%2C+-%2811%2F9%29+%28%28x+-+6%29%5E2%29%2B11%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );