document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=384053>Question 384053</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, im really having trouble understanding my homework on the absolute maximum and minimum values of a function. The problem that i am on right now is g(x)= -x^2+2x+8.<BR>\n" );
document.write( "Thank you for your help in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #271824 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=271824\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the max/min of a parabola is the vertex , which is on the axis of symmetry\r<BR>\n" );
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document.write( "general equation for the axis of symmetry ___ x = -b / (2a)\r<BR>\n" );
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document.write( "in this case ___ x = (-2) / (2 * (-1)) = (-2) / (-2) = 1\r<BR>\n" );
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document.write( "plug into the function to find the vertex ___ g(x) = -(1)^2 + 2(1) + 8 = 9 ___ the vertex is (1,9)\r<BR>\n" );
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document.write( "the coefficient of the squared term is negative , so the parabola opens downward\r<BR>\n" );
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document.write( "this means that the vertex is an absolute maximum </SPAN>\n" );
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