document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=686184>Question 686184</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the vertex, focus and directrix of the parabola: \r<BR>\n" );
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document.write( "y^2-6x-8x=-17  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #424729 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=424729\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine the vertex, focus and directrix of the parabola: <BR>\n" );
document.write( "y^2-6x-8x=-17<BR>\n" );
document.write( "y^2-14x=-17<BR>\n" );
document.write( "y^2=14x-17<BR>\n" );
document.write( "y^2=14(x-17/14)<BR>\n" );
document.write( "This is a parabola that opens rightwards.<BR>\n" );
document.write( "Its standard form of equation: (y-k)^2=4p(x-h), (h,k)=(x,y) coordinates of the vertex<BR>\n" );
document.write( "For given parabola:<BR>\n" );
document.write( "vertex: (17/14,0)<BR>\n" );
document.write( "axis of symmetry: y=0 or x-axis<BR>\n" );
document.write( "4p=14<BR>\n" );
document.write( "p=14/4=7/2=49/14<BR>\n" );
document.write( "focus: (66/14,0) (p distance to the right of vertex on the axis of symmetry)<BR>\n" );
document.write( "directrix: y=-32/14 (p distance to the left of vertex on the axis of symmetry) </SPAN>\n" );
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