document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=601470>Question 601470</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the vertex of the parabola.\r<BR>\n" );
document.write( "\n" );
document.write( "f(x) = x2 - 8x + 17<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #379779 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=379779\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine the vertex of the parabola. <BR>\n" );
document.write( "f(x) = x^2 - 8x + 17<BR>\n" );
document.write( "---<BR>\n" );
document.write( "One way:<BR>\n" );
document.write( "Complete the square:<BR>\n" );
document.write( "x^2 - 8x + 16 + 17-16 = y<BR>\n" );
document.write( "(x-4)^2 = y-1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Vertex at (4,1)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Another way:<BR>\n" );
document.write( "Vertex occurs where x = -b/(2a) = 8/2 = 4<BR>\n" );
document.write( "f(4) = 16-32+17 = 1<BR>\n" );
document.write( "Vertex at (4,1)<BR>\n" );
document.write( "===========<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cx%5E2-8x%2B17%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cx%5E2-8x%2B17%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );