document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=535254>Question 535254</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Without graphing, determine the vertex of the given parabola and state whether it opens upward or downward.<BR>\n" );
document.write( "y = -3x2 - 18x - 32 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #351815 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=351815\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Without graphing, determine the vertex of the given parabola and state whether it opens upward or downward.<BR>\n" );
document.write( "y = -3x2 - 18x - 32<BR>\n" );
document.write( "----<BR>\n" );
document.write( "The negative on the highest power term<BR>\n" );
document.write( "assures the parabola opens downward.<BR>\n" );
document.write( "------<BR>\n" );
document.write( "The vertex occurs where x = -b/(2a) = 18/(2*-3) = -3<BR>\n" );
document.write( "f(-3) = -3(-3)^2 - 18(-3) - 32<BR>\n" );
document.write( "f(-3) = -27 + 54 - 32<BR>\n" );
document.write( "f(-3) = -5<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Vertex at (-3,-5)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "========================<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );