document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=204938>Question 204938</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780618643103/algebrahomeworkh>College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Can someone PLEASE HELP me with this problem!!!!  PLEASE.\r<BR>\n" );
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document.write( "Identify the center, vertices, and foci (if applicable)\r<BR>\n" );
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document.write( "x^2-4y^2-4x=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #154691 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=154691\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Identify the center, vertices, and foci (if applicable) <BR>\n" );
document.write( "x^2-4y^2-4x=0<BR>\n" );
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document.write( "Complete the square on the x-terms and on the y-terms.<BR>\n" );
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document.write( "x^2 - 4x + 4 - 4y^2-4 = 0<BR>\n" );
document.write( "(x-2)^2 - 4(y-0)^2 = 4<BR>\n" );
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document.write( "[(x-2)^2]/4 - [(y-0)^2]/1 = 1<BR>\n" );
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document.write( "a = 2, b = 1 and the figure is a hyperbola so c=sqrt(a^2+b^2) = sqrt(5)<BR>\n" );
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document.write( "Center: (2,0)<BR>\n" );
document.write( "Vertices: (2+a,0) and (2-a,0) or (4,0) and (0,0)<BR>\n" );
document.write( "Foci: (2+c,0) and (2-c,0) or (2+sqrt(5),0) and (2-sqrt(5),0)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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