document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=805484>Question 805484</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am working on an assignment for \"completing the square\" in quadratic functions. The problem I'm working on is \r<BR>\n" );
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document.write( "9x^2-12x+4=-3\r<BR>\n" );
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document.write( "I am struggling with putting this into vertex form.\r<BR>\n" );
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document.write( "Thank you very much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #485266 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=485266\">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=9x%5E2-12x%2B4=-3 ALIGN=MIDDLE  ALT=\"9x%5E2-12x%2B4=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Factor the 9 from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2-12x ALIGN=MIDDLE  ALT=\"9x%5E2-12x\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%28x%5E2-%2812%2F9%29x%29 ALIGN=MIDDLE  ALT=\"9%28x%5E2-%2812%2F9%29x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%28x%5E2-%284%2F3%29x%29 ALIGN=MIDDLE  ALT=\"9%28x%5E2-%284%2F3%29x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Form the missing square term, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%284%2F3%29%2F2%29%5E2=4%2F9 ALIGN=MIDDLE  ALT=\"%28%284%2F3%29%2F2%29%5E2=4%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "You must add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F9%29%2A9 ALIGN=MIDDLE  ALT=\"%284%2F9%29%2A9\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides of the equation, being careful to account for what is inside and what is outside the factored grouping from your previous factoring step.\r<BR>\n" );
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document.write( "Watch this step carefully:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%28x%5E2-%284%2F3%29x%2B4%2F9%29%2B4=-3%2B%284%2F9%29%2A9 ALIGN=MIDDLE  ALT=\"9%28x%5E2-%284%2F3%29x%2B4%2F9%29%2B4=-3%2B%284%2F9%29%2A9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Start simplifying.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%28x-2%2F3%29%5E2%2B4=-3%2B4 ALIGN=MIDDLE  ALT=\"9%28x-2%2F3%29%5E2%2B4=-3%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%28x-2%2F3%29%5E2=-3%2B4-4 ALIGN=MIDDLE  ALT=\"9%28x-2%2F3%29%5E2=-3%2B4-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%28x-2%2F3%29%5E2=-3 ALIGN=MIDDLE  ALT=\"9%28x-2%2F3%29%5E2=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If you want to solve for x, you can from that.  \"Vertex\" form suggests you have a function but you did not show a given function, but a quadratic equation.  Maybe <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28f%28x%29=9%28x-2%2F3%29%5E2%2B3%29 ALIGN=MIDDLE  ALT=\"highlight%28f%28x%29=9%28x-2%2F3%29%5E2%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ?<BR>\n" );
document.write( "The vertex is (2/3, 3). </SPAN>\n" );
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