document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=874670>Question 874670</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the maximum value of f to four decimal places graphically, f(x)=100x-11x^2+2?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #527629 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=527629\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A formula would be nice.  Try starting with general form completely in symbols, complete the square and put into standard form.  You can then read the vertex directly from the equation.  The constant term will be the maximum value.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=ax%5E2%2Bbx%2Bc ALIGN=MIDDLE  ALT=\"f%28x%29=ax%5E2%2Bbx%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and understand that your \"a\" value will be negative, since as you see, in your function, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-11 ALIGN=MIDDLE  ALT=\"a=-11\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28x%5E2%2Bbx%2Bc%2Fa%29 ALIGN=MIDDLE  ALT=\"a%28x%5E2%2Bbx%2Bc%2Fa%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28x%5E2%2Bbx%2B%28b%2F2%29%5E2%2Bc%2Fa-%28b%2F2%29%5E2%29 ALIGN=MIDDLE  ALT=\"a%28x%5E2%2Bbx%2B%28b%2F2%29%5E2%2Bc%2Fa-%28b%2F2%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28x%2Bb%2F2%29%5E2%2Bc-a%28b%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"a%28x%2Bb%2F2%29%5E2%2Bc-a%28b%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28x%2Bb%2F2%29%5E2%2B4c%2F4-ab%5E2%2F4 ALIGN=MIDDLE  ALT=\"a%28x%2Bb%2F2%29%5E2%2B4c%2F4-ab%5E2%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28x%2Bb%2F2%29%5E2%2B%284c-ab%5E2%29%2F4 ALIGN=MIDDLE  ALT=\"a%28x%2Bb%2F2%29%5E2%2B%284c-ab%5E2%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "If no mistakes were made, then maximum value is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%284c-ab%5E2%29%2F4%29 ALIGN=MIDDLE  ALT=\"highlight%28%284c-ab%5E2%29%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >; this should give your maximum f to be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2A2%2B11%2A100%5E2%29%2F4=110008%2F4=highlight%2827502%29 ALIGN=MIDDLE  ALT=\"%284%2A2%2B11%2A100%5E2%29%2F4=110008%2F4=highlight%2827502%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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