document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=887546>Question 887546</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find local maximal or local minimal for the function -2x^2+4x-1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #536702 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=536702\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two ways to solve.  One way, find the zeros and take the x value in the exact middle, and calculate the function value.  The other way, complete the square to put the function into standard form and read the vertex directly from the function in its standard form.  WHICH do you prefer?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-4%2B-+sqrt%2816-4%28-2%29%28-1%29%29%29%2F%282%28-2%29%29 ALIGN=MIDDLE  ALT=\"x=%28-4%2B-+sqrt%2816-4%28-2%29%28-1%29%29%29%2F%282%28-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-4%2B-+sqrt%288%29%29%2F%28-4%29 ALIGN=MIDDLE  ALT=\"x=%28-4%2B-+sqrt%288%29%29%2F%28-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-4%2B-+2sqrt%282%29%29%2F%28-4%29 ALIGN=MIDDLE  ALT=\"x=%28-4%2B-+2sqrt%282%29%29%2F%28-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1%2B-+%281%2F2%29sqrt%282%29 ALIGN=MIDDLE  ALT=\"x=1%2B-+%281%2F2%29sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The x in the exact middle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%281%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >; NOW, what is the value of the function at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1%2F2 ALIGN=MIDDLE  ALT=\"x=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >? </SPAN>\n" );
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