document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=318058>Question 318058</A>: <I><SPAN STYLE=\"word-break: break-all;\"> y = (-4x^2) - 12x + 9\r<BR>\n" );
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document.write( "a. Determine the vertex of the function<BR>\n" );
document.write( "b. determine if the funtion is concave up or down<BR>\n" );
document.write( "c. Determine the zeros if any </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #228458 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=228458\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y = (-4x^2) - 12x + 9<BR>\n" );
document.write( "Complete the square and put the eqaution in vertex form, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x-h%29%5E2%2Bk ALIGN=MIDDLE  ALT=\"y=a%28x-h%29%5E2%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where (h,k) is the vertex.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+-4x%5E2-12x%2B9+ ALIGN=MIDDLE  ALT=\"y=+-4x%5E2-12x%2B9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-4%28x%5E2%2B3x%29%2B9 ALIGN=MIDDLE  ALT=\"y=-4%28x%5E2%2B3x%29%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-4%28x%5E2%2B3x%2B9%2F4%29%2B9%2B4%289%2F4%29 ALIGN=MIDDLE  ALT=\"y=-4%28x%5E2%2B3x%2B9%2F4%29%2B9%2B4%289%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-4%28x%2B3%2F2%29%5E2%2B18 ALIGN=MIDDLE  ALT=\"y=-4%28x%2B3%2F2%29%5E2%2B18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "a)The vertex is (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F2 ALIGN=MIDDLE  ALT=\"-3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18 ALIGN=MIDDLE  ALT=\"18\"   DISABLED_style= \"max-width:90%; height:auto;\" >).<BR>\n" );
document.write( "b) The parabola opens downward since the coefficient for <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.<BR>\n" );
document.write( "c) Since the vertex occurs at y=18 and it opens downwards, the curve will cross the x-axis.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-4%28x%2B3%2F2%29%5E2%2B18=0 ALIGN=MIDDLE  ALT=\"y=-4%28x%2B3%2F2%29%5E2%2B18=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28x%2B3%2F2%29%5E2=18 ALIGN=MIDDLE  ALT=\"4%28x%2B3%2F2%29%5E2=18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%2F2%29%5E2=18%2F4 ALIGN=MIDDLE  ALT=\"%28x%2B3%2F2%29%5E2=18%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3%2F2=0+%2B-+%283%2F2%29sqrt%282%29 ALIGN=MIDDLE  ALT=\"x%2B3%2F2=0+%2B-+%283%2F2%29sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-3%2F2+%2B-+%283%2F2%29sqrt%282%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-3%2F2+%2B-+%283%2F2%29sqrt%282%29%29\"   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-5%2C2%2C-5%2C20%2Cgrid%281%29%2C%0D%0Acircle%280.62%2C0%2C.1%29%2C%0D%0Acircle%28-3.62%2C0%2C.1%29%2C%0D%0Acircle%28-1.5%2C18%2C.1%29%2C%0D%0Agraph%28300%2C300%2C-5%2C2%2C-5%2C20%2C+-4%28x%2B3%2F2%29%5E2%2B18%2C-4x%5E2-12x%2B9%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );