document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=408258>Question 408258</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find vertex with vertex formula. find where f is increasing and decreasing\r<BR>\n" );
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document.write( "f(x)= -4/5^2 - 1/5x +1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #287668 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=287668\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=-%284%2F5%29x%5E2+-+%281%2F5%29x%2B1 ALIGN=MIDDLE  ALT=\"f%28x%29=-%284%2F5%29x%5E2+-+%281%2F5%29x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The vertex is found using the formula for (x,y):\r<BR>\n" );
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document.write( "(-b/2a,f(-b/2a))\r<BR>\n" );
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document.write( "find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   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=x=-b%2F2a ALIGN=MIDDLE  ALT=\"x=-b%2F2a\"   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=-%28-1%2F5%29%2F2%28-4%2F5%29 ALIGN=MIDDLE  ALT=\"-%28-1%2F5%29%2F2%28-4%2F5%29\"   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=0.2%2F%28-1.6%29 ALIGN=MIDDLE  ALT=\"0.2%2F%28-1.6%29\"   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=-0.125 ALIGN=MIDDLE  ALT=\"-0.125\"   DISABLED_style= \"max-width:90%; height:auto;\" >...so we have (-0.125,y)..now find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   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=f%28-0.125%29 ALIGN=MIDDLE  ALT=\"y=f%28-0.125%29\"   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=f%28-0.125%29=+-+%284%2F5%29%28-0.125%29%5E2+-+%281%2F5%29%28-0.125%29%2B1 ALIGN=MIDDLE  ALT=\"f%28-0.125%29=+-+%284%2F5%29%28-0.125%29%5E2+-+%281%2F5%29%28-0.125%29%2B1\"   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=f%281%29-0.125=-+%284%2F5%290.015625%2B0.025%2B1 ALIGN=MIDDLE  ALT=\"f%281%29-0.125=-+%284%2F5%290.015625%2B0.025%2B1\"   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=f%28-0.125%29=1.0125 ALIGN=MIDDLE  ALT=\"f%28-0.125%29=1.0125\"   DISABLED_style= \"max-width:90%; height:auto;\" >................ so  the vertex is  (-0.125,1.0125)\r<BR>\n" );
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document.write( "the intervals on which the function is increasing and the intervals on which the function is decreasing\r<BR>\n" );
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document.write( "Given the vertex of (-0.125,1.0125):\r<BR>\n" );
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document.write( "The function is increasing on:\r<BR>\n" );
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document.write( "(-&#8734;,-0.125)\r<BR>\n" );
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document.write( "The function is decreasing  on:\r<BR>\n" );
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document.write( "(-0.125,&#8734;)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+-%284%2F5%29x%5E2+-+%281%2F5%29x+%2B1%29+ ALIGN=MIDDLE  ALT=\"+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+-%284%2F5%29x%5E2+-+%281%2F5%29x+%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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