document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=721379>Question 721379</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write the equation y^2- 8y - 8x = 8 in standard form. Fill in the blanks and sketch the graph. <BR>\n" );
document.write( "A)vertex:<BR>\n" );
document.write( " B)Directrix:<BR>\n" );
document.write( " C)AOS:<BR>\n" );
document.write( " D)p=<BR>\n" );
document.write( " E)Latus Rectum=<BR>\n" );
document.write( " F)focus: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #442706 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=442706\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> write the equation y^2- 8y - 8x = 8 in standard form. Fill in the blanks and sketch the graph. <BR>\n" );
document.write( "A)vertex:(-3,4)<BR>\n" );
document.write( "B)Directrix:x=-5<BR>\n" );
document.write( "C)AOS:y=4<BR>\n" );
document.write( "D)p=2<BR>\n" );
document.write( "E)Latus Rectum=8<BR>\n" );
document.write( "F)focus:(-1,4)<BR>\n" );
document.write( "***<BR>\n" );
document.write( "y^2-8y-8x=8<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "(y^2-8y+16)=8x+8+16<BR>\n" );
document.write( "(y-4)^2=8x+24<BR>\n" );
document.write( "(y-4)^2=8(x+3)<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), (h,k)=(x,y) coordinates of the vertex<BR>\n" );
document.write( "vertex: (-3,4)<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: (-1,4)<BR>\n" );
document.write( "directrix: x=-5<BR>\n" );
document.write( "latus rectum(focal width)=4p=8<BR>\n" );
document.write( "Standard form of equation: (vertex form):<BR>\n" );
document.write( "x=(1/8)(y-4)^2-3<BR>\n" );
document.write( "see graph below:<BR>\n" );
document.write( " y=(8x+24)^.5+4\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C%288x%2B24%29%5E.5%2B4%2C-%288x%2B24%29%5E.5%2B4%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );