document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=362971>Question 362971</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value.\r<BR>\n" );
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document.write( "f(x) = -x2 - 3x - 8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #258694 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=258694\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The coefficient of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is negative, so the graph is a parabola facing downward, and hence the function has a maximum.  The maximum value happens at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-b%2F%282a%29+=+--3%2F%282%2A-1%29+=+3%2F-2+=+-3%2F2 ALIGN=MIDDLE  ALT=\"x+=+-b%2F%282a%29+=+--3%2F%282%2A-1%29+=+3%2F-2+=+-3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The maximum value is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28-3%2F2%29%5E2+-+3%2A%28-3%2F2%29-8+=+-9%2F4%2B9%2F2-8+=+9%2F4-8+=+-23%2F4 ALIGN=MIDDLE  ALT=\"-%28-3%2F2%29%5E2+-+3%2A%28-3%2F2%29-8+=+-9%2F4%2B9%2F2-8+=+9%2F4-8+=+-23%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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