document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=961785>Question 961785</A>: <I><SPAN STYLE=\"word-break: break-all;\"> X^2-2X-8y+17=0 Find the vertex, focus, equations of the directrix, and the axis of symmetry. Please write each step out.  I can complete the square and then put it in standard form y=ax^2.  My question is identifying all the above from the standard form. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #587658 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=587658\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> X^2-2X-8y+17=0 Find the vertex, focus, equations of the directrix, and the axis of symmetry. Please write each step out. I can complete the square and then put it in standard form y=ax^2. My question is identifying all the above from the standard form.<BR>\n" );
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document.write( "8y = x^2-2x+17<BR>\n" );
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document.write( "x^2 - 2x = 8y-17<BR>\n" );
document.write( "x^2-2x+1 = 8y-16<BR>\n" );
document.write( "(x-1)^2 = 2(y-2)<BR>\n" );
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document.write( "Vertex:: (1,2)<BR>\n" );
document.write( "Axis of symmetry:: x = 1<BR>\n" );
document.write( "4p = 2<BR>\n" );
document.write( "p = 1/2<BR>\n" );
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document.write( "focus:: (1,2+p) or (1,5/2)<BR>\n" );
document.write( "directrix: y = 2-p = 3/2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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