document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=357822>Question 357822</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine whether there is a maximum or minimum value for the given<BR>\n" );
document.write( "function, and find that value.\r<BR>\n" );
document.write( "\n" );
document.write( "f(x) = x2 – 5x + 12 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #255469 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=255469\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Convert to vertex form, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x-h%29%5E2%2Bk ALIGN=MIDDLE  ALT=\"y=a%28x-h%29%5E2%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-5x%2B12=0 ALIGN=MIDDLE  ALT=\"x%5E2-5x%2B12=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-5x%2B25%2F4%2B12-25%2F4=0 ALIGN=MIDDLE  ALT=\"x%5E2-5x%2B25%2F4%2B12-25%2F4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%2F2%29%5E2%2B48%2F4-25%2F4=0 ALIGN=MIDDLE  ALT=\"%28x-5%2F2%29%5E2%2B48%2F4-25%2F4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%2F2%29%5E2%2B23%2F4=0 ALIGN=MIDDLE  ALT=\"%28x-5%2F2%29%5E2%2B23%2F4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3E0 ALIGN=MIDDLE  ALT=\"a%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then the value at the vertex is a minimum.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5Bmin%5D=23%2F4 ALIGN=MIDDLE  ALT=\"y%5Bmin%5D=23%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-2%2C10%2C-2%2C10%2Cgrid%281%29%2Ccircle%285%2F2%2C23%2F4%2C0.2%29%2Cgraph%28300%2C300%2C-2%2C10%2C-2%2C10%2Cx%5E2-5x%2B12%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );