document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=358712>Question 358712</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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+1%2F5%28x%2B8%29%5E2%2B2+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+1%2F5%28x%2B8%29%5E2%2B2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "1) The vertex is ???\r<BR>\n" );
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document.write( "2) The line of symmetry is x= ??\r<BR>\n" );
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document.write( "3) What is the maximum/minimum value of f(x)\r<BR>\n" );
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document.write( "4) Is the value f (-8)=2, a minimum or maximum??\r<BR>\n" );
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document.write( "Could someone please help me and please show me what the graph looks like<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 #256015 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=256015\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "The way you rendered your function, the questions asked don't make any sense.  Hence, I'm going to presume that you really meant:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ f(x)\ =\ \frac{1}{5}\left(x\ +\ 8\right)^2\ +\ 2\">\r<BR>\n" );
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document.write( "instead of what you actually wrote which was:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ f(x)\ =\ \frac{1}{5\left(x\ +\ 8\right)^2}\ +\ 2\">\r<BR>\n" );
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document.write( "Your function is in vertex form, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \rho(x)\ =\ a\left(x\ -\ h\right)^2\ +\ k\">, which has a vertex at <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large (h, k)\">, an axis of symmetry at <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\ =\ h\">, a minimum or maximum value equal to the function value at the vertex, and the vertex is a maximum when <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large a\ <\ 0\"> or a minimum when <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large a\ >\ 0\">\r<BR>\n" );
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document.write( "Hint:  Re-write your function thusly:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ f(x)\ =\ \frac{1}{5}\left(x\ -\ (-8)\right)^2\ +\ 2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28%0D%0A500%2C+500%2C+-19%2C+1%2C+-1%2C+19%2C%0D%0Agrid%281%29%2C%0D%0Agraph%28%0D%0A500%2C+500%2C+-19%2C+1%2C+-1%2C+19%2C%0D%0A%281%2F5%29%28x%2B8%29%5E2%2B2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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