document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=848901>Question 848901</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the focus, vertex, directrix , axis, and latus rectum of the parabola, y2 =8x-8y  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #511469 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=511469\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the focus, vertex, directrix , axis, and latus rectum of the parabola, y2 =8x-8y<BR>\n" );
document.write( "***<BR>\n" );
document.write( "y2 =8x-8y<BR>\n" );
document.write( "y^2+8y=8x<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "y^2+8y+16=8x+16<BR>\n" );
document.write( "(y+4)^2=8(x+2)<BR>\n" );
document.write( "This is an equation of a parabola that opens rightward.<BR>\n" );
document.write( "Its basic equation: (y-k)^2=4p(x-h)<BR>\n" );
document.write( "vertex: (-2,-4)<BR>\n" );
document.write( "axis of symmetry: y=-4<BR>\n" );
document.write( "4p=8<BR>\n" );
document.write( "p=2<BR>\n" );
document.write( "focus: (0,-4) (p-distance to the right of the vertex on the axis of symmetry)<BR>\n" );
document.write( "directrix: x=-4  (p-distance to the left of the vertex on the axis of symmetry)<BR>\n" );
document.write( "latus rectum or focal width=4p=8 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );