document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=123842>Question 123842</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What formula do you use to put this in vertex form where you can graph it? What are the \"zeros\" of this equation? and how do you find the \"zeros\".\r<BR>\n" );
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document.write( "f(x)=-3(x-2)^2+5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #90849 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=90849\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A zero means to let f(x) = 0 and solve for x:\r<BR>\n" );
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document.write( "f(x)=-3(x-2)^2 + 5 =0\r<BR>\n" );
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document.write( "Subtract 5 from each side:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%28x-2%29%5E2++=-+5 ALIGN=MIDDLE  ALT=\"-3%28x-2%29%5E2++=-+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide by -3:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x-2%29%5E2=5%2F3 ALIGN=MIDDLE  ALT=\"+%28x-2%29%5E2=5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Take the squsre root of each side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2=0%2B-sqrt%285%2F3%29 ALIGN=MIDDLE  ALT=\"x-2=0%2B-sqrt%285%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add 2 to each side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2%2B-sqrt%285%2F3%29+ ALIGN=MIDDLE  ALT=\"x=2%2B-sqrt%285%2F3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "There are other ways to write this, by rationalizing the denominator:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2%2B-+sqrt%28%285%2F3%29%2A%283%2F3%29%29 ALIGN=MIDDLE  ALT=\"x=2%2B-+sqrt%28%285%2F3%29%2A%283%2F3%29%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=x=2%2B-+sqrt%2815%2F9%29 ALIGN=MIDDLE  ALT=\"x=2%2B-+sqrt%2815%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2%2B-+%28sqrt%2815%29%29%2F3 ALIGN=MIDDLE  ALT=\"x=2%2B-+%28sqrt%2815%29%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You may need to express this with a common denominator:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x=%286%2B-sqrt%2815%29%29%2F3 ALIGN=MIDDLE  ALT=\"+x=%286%2B-sqrt%2815%29%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "R^2<BR>\n" );
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