document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=960120>Question 960120</A>: <I><SPAN STYLE=\"word-break: break-all;\"> convert to vertex form<BR>\n" );
document.write( "y=-3x^2-24x-46 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #586781 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=586781\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you have to group the x^2 and x together to get:\r<BR>\n" );
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document.write( "y = (3x^2 - 24x) - 46\r<BR>\n" );
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document.write( "you have to factor out the 3 so that the x^2 term has a coefficient of 1.\r<BR>\n" );
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document.write( "y = 3 * (x^2 - 8x) - 46\r<BR>\n" );
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document.write( "you have to complete the squares on (x^2 - 8x)\r<BR>\n" );
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document.write( "divide the coefficient of the x term by 2 and you will get 4.\r<BR>\n" );
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document.write( "square the 4 and you will get 16.\r<BR>\n" );
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document.write( "(x^2 - 8x) will become equal to (x-4)^2 - 16\r<BR>\n" );
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document.write( "3 * (x^2 - 8x) - 46 will become equal to:\r<BR>\n" );
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document.write( "3 * ((x-4)^2 - 16) - 46 which will become equal to:\r<BR>\n" );
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document.write( "3 * (x-4)^2 - 48 - 46 which will become equal to:\r<BR>\n" );
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document.write( "3 * (x-4)^2 - 94.\r<BR>\n" );
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document.write( "that's the vertex form of the equation.\r<BR>\n" );
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document.write( "you started with:\r<BR>\n" );
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document.write( "y = 3x^2 - 24x - 46\r<BR>\n" );
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document.write( "you ended up with:\r<BR>\n" );
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document.write( "y = 3 * (x-4)^2 - 94\r<BR>\n" );
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document.write( "those two equations are equivalent.\r<BR>\n" );
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document.write( "if you graph both equations, they will generate the same graph.\r<BR>\n" );
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document.write( "that graph is shown below:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2015/040101.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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