document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=811506>Question 811506</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Complete the square to write the quadratic function in vertex form.\r<BR>\n" );
document.write( "\n" );
document.write( "y = x^2 + 8x + 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #488885 by </B><A HREF=/tutors/aboutme.mpl?userid=erica65404><B>erica65404(394)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=erica65404><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=erica65404><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=488885\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> complete the square<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2+%2B+bx+%2B+c ALIGN=MIDDLE  ALT=\"ax%5E2+%2B+bx+%2B+c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2+%2B+bx+%2B+%28%281%2F2%29b%29%5E2+-+%28%281%2F2%29b%29%5E2+%2B+c ALIGN=MIDDLE  ALT=\"ax%5E2+%2B+bx+%2B+%28%281%2F2%29b%29%5E2+-+%28%281%2F2%29b%29%5E2+%2B+c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+%281%2F2%29b%29%5E2+%2B+c+-+%28%281%2F2%29b%29%5E2 ALIGN=MIDDLE  ALT=\"%28x+%2B+%281%2F2%29b%29%5E2+%2B+c+-+%28%281%2F2%29b%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "That probably looks a little complicated, so i will explain it.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%5E2+%2B+8x+%2B+1 ALIGN=MIDDLE  ALT=\"y+=+x%5E2+%2B+8x+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "take half of 8 (4)<BR>\n" );
document.write( "and square it. (4*4)<BR>\n" );
document.write( "then add and subtract it into the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%5E2+%2B+8x+%2B+16+-+16+%2B+1 ALIGN=MIDDLE  ALT=\"y+=+x%5E2+%2B+8x+%2B+16+-+16+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "now take <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2+%2B+8x+%2B+16%29 ALIGN=MIDDLE  ALT=\"%28x%5E2+%2B+8x+%2B+16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "this can be factored into<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%2B4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "then you just add on the rest<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29%5E2-15 ALIGN=MIDDLE  ALT=\"%28x%2B4%29%5E2-15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "this is the vertex form<BR>\n" );
document.write( "and your vertex is (-4,-15) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );