document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=974252>Question 974252</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rewrite the following equations in vertex form:<BR>\n" );
document.write( "Y=x^2-9x+20<BR>\n" );
document.write( "Y=X^2-7x-8<BR>\n" );
document.write( "Y=X^2+4x-9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #596215 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=596215\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=x%5E2-9x%2B20 ALIGN=MIDDLE  ALT=\"Y=x%5E2-9x%2B20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=%28x%5E2-9x%29%2B20 ALIGN=MIDDLE  ALT=\"Y=%28x%5E2-9x%29%2B20\"   DISABLED_style= \"max-width:90%; height:auto;\" >......complete square<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=%28x%5E2-9x%2Bb%5E2%29-b%5E2%2B20 ALIGN=MIDDLE  ALT=\"Y=%28x%5E2-9x%2Bb%5E2%29-b%5E2%2B20\"   DISABLED_style= \"max-width:90%; height:auto;\" >...compare to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a-b%29%5E2=a%5E2-2ab%2Bb%5E2 ALIGN=MIDDLE  ALT=\"%28a-b%29%5E2=a%5E2-2ab%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >;as you can see, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=1 ALIGN=MIDDLE  ALT=\"a=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2ab=9 ALIGN=MIDDLE  ALT=\"2ab=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A1%2Ab=9 ALIGN=MIDDLE  ALT=\"2%2A1%2Ab=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b=9 ALIGN=MIDDLE  ALT=\"2b=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=9%2F2 ALIGN=MIDDLE  ALT=\"b=9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then we have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=%28x%5E2-9x%2B%289%2F2%29%5E2%29-%289%2F2%29%5E2%2B20 ALIGN=MIDDLE  ALT=\"Y=%28x%5E2-9x%2B%289%2F2%29%5E2%29-%289%2F2%29%5E2%2B20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=%28x-9%2F2%29%5E2-81%2F4%2B20 ALIGN=MIDDLE  ALT=\"Y=%28x-9%2F2%29%5E2-81%2F4%2B20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=%28x-9%2F2%29%5E2-81%2F4%2B80%2F4 ALIGN=MIDDLE  ALT=\"Y=%28x-9%2F2%29%5E2-81%2F4%2B80%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=%28x-9%2F2%29%5E2-1%2F4 ALIGN=MIDDLE  ALT=\"Y=%28x-9%2F2%29%5E2-1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=9%2F2 ALIGN=MIDDLE  ALT=\"h=9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=-1%2F4 ALIGN=MIDDLE  ALT=\"k=-1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=x%5E2-7x-8 ALIGN=MIDDLE  ALT=\"Y=x%5E2-7x-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=%28x%5E2-7x%29-8 ALIGN=MIDDLE  ALT=\"Y=%28x%5E2-7x%29-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=%28x%5E2-7x%2Bb%5E2%29-b%5E2-8 ALIGN=MIDDLE  ALT=\"Y=%28x%5E2-7x%2Bb%5E2%29-b%5E2-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >...=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=1 ALIGN=MIDDLE  ALT=\"a=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2ab=7 ALIGN=MIDDLE  ALT=\"2ab=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A1%2Ab=7 ALIGN=MIDDLE  ALT=\"2%2A1%2Ab=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b=7 ALIGN=MIDDLE  ALT=\"2b=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=7%2F2 ALIGN=MIDDLE  ALT=\"b=7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then we have\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=%28x%5E2-7x%2B%287%2F2%29%5E2%29-%287%2F2%29%5E2-8 ALIGN=MIDDLE  ALT=\"Y=%28x%5E2-7x%2B%287%2F2%29%5E2%29-%287%2F2%29%5E2-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=%28x-7%2F2%29%5E2-49%2F4-8 ALIGN=MIDDLE  ALT=\"Y=%28x-7%2F2%29%5E2-49%2F4-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=%28x-7%2F2%29%5E2-49%2F4-32%2F4 ALIGN=MIDDLE  ALT=\"Y=%28x-7%2F2%29%5E2-49%2F4-32%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=%28x-7%2F2%29%5E2-81%2F4 ALIGN=MIDDLE  ALT=\"Y=%28x-7%2F2%29%5E2-81%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=x%5E2%2B4x-9 ALIGN=MIDDLE  ALT=\"Y=x%5E2%2B4x-9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=%28x%5E2%2B4x%29-9 ALIGN=MIDDLE  ALT=\"Y=%28x%5E2%2B4x%29-9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=%28x%5E2%2B4x%2Bb%5E2%29-b%5E2-9 ALIGN=MIDDLE  ALT=\"Y=%28x%5E2%2B4x%2Bb%5E2%29-b%5E2-9\"   DISABLED_style= \"max-width:90%; height:auto;\" >...=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=1 ALIGN=MIDDLE  ALT=\"a=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2ab=4 ALIGN=MIDDLE  ALT=\"2ab=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A1%2Ab=4 ALIGN=MIDDLE  ALT=\"2%2A1%2Ab=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b=4 ALIGN=MIDDLE  ALT=\"2b=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=2 ALIGN=MIDDLE  ALT=\"b=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then we have\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=%28x%5E2%2B4x%2B2%5E2%29-2%5E2-9 ALIGN=MIDDLE  ALT=\"Y=%28x%5E2%2B4x%2B2%5E2%29-2%5E2-9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=%28x%2B2%29%5E2-4-9 ALIGN=MIDDLE  ALT=\"Y=%28x%2B2%29%5E2-4-9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=%28x%2B2%29%5E2-13 ALIGN=MIDDLE  ALT=\"Y=%28x%2B2%29%5E2-13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );