document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=123806>Question 123806</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the maximum or minimum value of the quadratic function.\r<BR>\n" );
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document.write( "f(x)=x^2-6x+2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #90824 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=90824\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You can do this algebraically or graphically.  What is your choice?  I think the easiest way is graphical.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-6%2C6%2C-10%2C10%2C+x%5E2-6x%2B2%29+ ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-6%2C6%2C-10%2C10%2C+x%5E2-6x%2B2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "It looks like the minimum value of f(x) is y=-7.\r<BR>\n" );
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document.write( "Try algebraically to confirm this answer:<BR>\n" );
document.write( "y=x^2-6x+2\r<BR>\n" );
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document.write( "There are several ways, probably the easiest of which is to find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"x=-b%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where a is the coefficient of x^2 and b is the coefficient of x.  Therefore, a=1, b=-6, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-b%2F%282a%29+=6%2F2=3 ALIGN=MIDDLE  ALT=\"x=-b%2F%282a%29+=6%2F2=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2-6x%2B2 ALIGN=MIDDLE  ALT=\"y=x%5E2-6x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where x=3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3%5E2-6%2A3%2B2 ALIGN=MIDDLE  ALT=\"y=3%5E2-6%2A3%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=9-18%2B2 ALIGN=MIDDLE  ALT=\"y=9-18%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-7 ALIGN=MIDDLE  ALT=\"y=-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the minimum value\r<BR>\n" );
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document.write( "R^2 </SPAN>\n" );
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