document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=949610>Question 949610</A>: <I><SPAN STYLE=\"word-break: break-all;\"> with axis x=-2, length of the latus rectum = 6, and passing through (4,8). find the equation of the parabola whose vertex is at (h,k). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #579773 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=579773\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> with axis x=-2, length of the latus rectum = 6, and passing through (4,8). find the equation of the parabola whose vertex is at (h,k).<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Given parabola opens upward:<BR>\n" );
document.write( "Its basic equation: (x-h)^2=4p(y-k)<BR>\n" );
document.write( "latus rectum=6=4p<BR>\n" );
document.write( "equation:(x-h)^2=6(y-k)<BR>\n" );
document.write( "h=-2<BR>\n" );
document.write( "using coordinates of given point (4,8)<BR>\n" );
document.write( "(4+2)^2=6(8-k)<BR>\n" );
document.write( "36=48-6k<BR>\n" );
document.write( "6k=12<BR>\n" );
document.write( "k=2<BR>\n" );
document.write( "equation:(x+2)^2=6(y-2) </SPAN>\n" );
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