document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=967997>Question 967997</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Good evening! Can someone walk me through this, please?<BR>\n" );
document.write( "For the following equation of a parabola determine the vertex, focus, and directrix:<BR>\n" );
document.write( "y2+2x&#8722;8y+7=1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #591648 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=591648\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For the following equation of a parabola determine the vertex, focus, and directrix:<BR>\n" );
document.write( "y2+2x&#8722;8y+7=1<BR>\n" );
document.write( "y^2-8y+2x=-6<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "(y^2-8y+16)-16+2x=-6<BR>\n" );
document.write( "(y-4)^2=-2x+10<BR>\n" );
document.write( "(y-4)^2=-2(x-5)<BR>\n" );
document.write( "This is an equation of a parabola that opens leftward<BR>\n" );
document.write( "Its basic form of equation: (y-k)^2=4p(x-h), (h,k)=coordinates of vertex<BR>\n" );
document.write( "For given parabola:<BR>\n" );
document.write( "vertex: (5, 4)<BR>\n" );
document.write( "axis of symmetry: y=4<BR>\n" );
document.write( "4p=2<BR>\n" );
document.write( "p=1/2<BR>\n" );
document.write( "focus:(4.5,4) (p-distance left of vertex on the axis of symmetry)<BR>\n" );
document.write( "directrix: x=5.5 (p-distance right of vertex on the axis of symmetry) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );