document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1032821>Question 1032821</A>: <I><SPAN STYLE=\"word-break: break-all;\"> place the following quadratic in vertex form by completting the square and then state the coordinates of its vertex. <BR>\n" );
document.write( "y=3x^2+24x+43 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #647398 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=647398\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y=3x^2+24x+43<BR>\n" );
document.write( "y=3(x^2+8x+43/3)<BR>\n" );
document.write( "complete the square<BR>\n" );
document.write( "y=3(x^2+8x+16)+43-48,because I added 16 to the parentheses and multiplied that by 3, the coefficient.<BR>\n" );
document.write( "y=3(x+4)^2-5<BR>\n" );
document.write( "The vertex is at (-4, -5)<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );