document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=590198>Question 590198</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have to name the center, vertices, foci and slopes of the asymptotes\r<BR>\n" );
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document.write( "x^2 - y^2 -4x +2y = -2 add 4\r<BR>\n" );
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document.write( "(x-2)^2 add 4 to the right side<BR>\n" );
document.write( "now I am stuck because I am not sure what the negative in front of the y^2<BR>\n" );
document.write( "I am not sure how to do the (y- or +2)^2 because of the - in front of the y^2 and do I add a neg or positive 2 on the left side?<BR>\n" );
document.write( "What would my equation be?\r<BR>\n" );
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document.write( "Thank you!<BR>\n" );
document.write( "Connie </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #375078 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=375078\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I have to name the center, vertices, foci and slopes of the asymptotes <BR>\n" );
document.write( "x^2 - y^2 -4x +2y = -2 add 4<BR>\n" );
document.write( "** <BR>\n" );
document.write( "I will assume this is the original equation:<BR>\n" );
document.write( "x^2 - y^2 -4x +2y = -2<BR>\n" );
document.write( "To get all the answers, you must first put this equation in standard form by completing the squares:<BR>\n" );
document.write( "(x^2-4x+4) -(y^2-2y+1) = -2+4-1<BR>\n" );
document.write( "(x-2)^2-(y-1)^2=1<BR>\n" );
document.write( "This is an equation of a hyperbola with horizontal transverse axis of the standard form:<BR>\n" );
document.write( "(x-h)^2/a^2-(y-k)^2/b^2=1, (h,k)=(x,y) coordinates of the center.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "For given equation: (x-2)^2-(y-1)^2=1<BR>\n" );
document.write( "center: (2,1)<BR>\n" );
document.write( "a^2=1<BR>\n" );
document.write( "a=1<BR>\n" );
document.write( "vertices:(2±a,1)=(2±1,1)=(1,1) and (3,1)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "b^2=1<BR>\n" );
document.write( "b=1<BR>\n" );
document.write( "..<BR>\n" );
document.write( "c^2=a^2+b^2=1+1=2<BR>\n" );
document.write( "c=&#8730;2<BR>\n" );
document.write( "Foci: (2±c,1)=(2±&#8730;2,1)=(2-&#8730;2,1) and (2+&#8730;2,1)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "slopes of asymptotes=±b/a=±1/1=±1<BR>\n" );
document.write( " </SPAN>\n" );
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