document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=919447>Question 919447</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what are the coordinates of the vertex of f(x)=-3x2+12x-9? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #557724 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=557724\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the vertex form of a Parabola opening up(a>0) or down(a<0), <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( "the vertex form of a Parabola opening up(a>0) or down(a<0), <BR>\n" );
document.write( "<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;\" >. V(h, k)<BR>\n" );
document.write( " Completing the Square to Obtain the Vertex Form:<BR>\n" );
document.write( "y = ax^2 + bx + c = 0<BR>\n" );
document.write( "f(x)=-3x^2+12x-9 = 0  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2F%28-2a%29+=+%2812%29%2F%286%29+=+2 ALIGN=MIDDLE  ALT=\"b%2F%28-2a%29+=+%2812%29%2F%286%29+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > 2 the x-value for the Vertex<BR>\n" );
document.write( "y = -3(x - 2)^2 + 12 -9 = 0  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-a%28b%2F%28-2a%29%29%5E2+ ALIGN=MIDDLE  ALT=\"-a%28b%2F%28-2a%29%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >= 12<BR>\n" );
document.write( "y = -3x - 2)^2 +3= 0   <BR>\n" );
document.write( "y = -3(x - 2)^2 + 3 = 0<BR>\n" );
document.write( "V(2,3)\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C+++-6%2C+6%2C+-6%2C+6%2C+grid%281%29%2C+blue%28line%282%2C6%2C2%2C-6%29%29+%2C%0D%0Acircle%282%2C+3%2C0.2%29%2C%0D%0Agraph%28+300%2C+300%2C+-6%2C+6%2C+-6%2C+6%2C0%2C+-3x%5E2%2B12x-9+%29+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );