document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=375407>Question 375407</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function.\r<BR>\n" );
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document.write( "f(x)=1/3 &#12310;(x+9)&#12311;^2+9\r<BR>\n" );
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document.write( "vertex=<BR>\n" );
document.write( "the line of symmetry =<BR>\n" );
document.write( "the maximum/minimum value of f(x)=<BR>\n" );
document.write( "Graph the function\r<BR>\n" );
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document.write( "Help? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #267028 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=267028\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "The equation is already in vertex form.<BR>\n" );
document.write( "Vertex:(-9,9)<BR>\n" );
document.write( "The vertex lies on the axis of symmetry, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-9 ALIGN=MIDDLE  ALT=\"x=-9\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The max or min value occurs at the vertex.<BR>\n" );
document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3%3E0 ALIGN=MIDDLE  ALT=\"1%2F3%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the parabola opens upwards and 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=9 ALIGN=MIDDLE  ALT=\"y%5Bmin%5D=9\"   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-14%2C2%2C-2%2C14%2Ccircle%28-9%2C9%2C0.3%29%2Cblue%28line%28-9%2C100%2C-9%2C-100%29%29%2Cgrid%281%29%2Cgraph%28300%2C300%2C-14%2C2%2C-2%2C14%2C0%2C%281%2F3%29%28x%2B9%29%5E2%2B9%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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