document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=199339>Question 199339</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello!\r<BR>\n" );
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document.write( "A quadratic function is given.<BR>\n" );
document.write( "f(x) = 3 - 36x - 36x^2\r<BR>\n" );
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document.write( "(a) Express the quadratic function in standard form.\r<BR>\n" );
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document.write( "Thanks for the help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #149824 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=149824\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Standard form: f(x)=a(x-h)^2+k<BR>\n" );
document.write( "f(x)=-36x^2-36x+3<BR>\n" );
document.write( "=(-36x^2-36x)+3<BR>\n" );
document.write( "=-36(x^2+x)+3<BR>\n" );
document.write( "=-36(x^2+x+ 1/4 - 1/4)+3 (divide the coefficient of the second term by 2 and square it to complete the square then add its negative.<BR>\n" );
document.write( "=-36(x^2+x+ 1/4)-36(-1/4)+3<BR>\n" );
document.write( "=-36(x+ 1/2)^2+9+3<BR>\n" );
document.write( "=-36(x+ 1/2)^2+12 answer<BR>\n" );
document.write( "h=-1/2 the line of symmetry on the graph.<BR>\n" );
document.write( "(h,k)=(-1/2,12) the vertex of the graph<BR>\n" );
document.write( "The graph points upward because a is negative.<BR>\n" );
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document.write( "Ed<BR>\n" );
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