document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=69774>Question 69774</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please someone help me! I need to rewrite this function in turning point form<BR>\n" );
document.write( "y=x^+4x+3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #49721 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=49721\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> rewrite this function in turning point form<BR>\n" );
document.write( "y=x^2+4x+3<BR>\n" );
document.write( "The form is y-k=(x-h)^2 where (h,k) is the vertex or turning point.\r<BR>\n" );
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document.write( "Rewrite as:<BR>\n" );
document.write( "y-3 = x^2+4x<BR>\n" );
document.write( "Complete the square on the right side and keep the equation balanced:<BR>\n" );
document.write( "y-3+? = x^2+4x+?<BR>\n" );
document.write( "y--3+4 = x^2+4x+4<BR>\n" );
document.write( "y+1 = (x+2)^2<BR>\n" );
document.write( "Therefore:<BR>\n" );
document.write( "The vertex or \"turning point\" is at x-2 , y=-1\r<BR>\n" );
document.write( "\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );