document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=381342>Question 381342</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question reads:\r<BR>\n" );
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document.write( "\"Complete the square on the hyperbola: x^2-4y^2+2x+8y-19=0. Finally, draw a quick sketch. A sketch from a graphics calculator is acceptable.\"\r<BR>\n" );
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document.write( "Don't know to complete the square or what to punch in on \"y=\" on my graphing calculator! Thanks a bunch!\r<BR>\n" );
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document.write( "Zach </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #270470 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=270470\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"Complete the square on the hyperbola: x^2-4y^2+2x+8y-19=0. Finally, draw a quick sketch. A sketch from a graphics calculator is acceptable.\" <BR>\n" );
document.write( "Don't know to complete the square or what to punch in on \"y=\" on my graphing calculator!<BR>\n" );
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document.write( "x^2-4y^2+2x+8y-19=0<BR>\n" );
document.write( "Complete the square:<BR>\n" );
document.write( "x^2+2x+1 -4(y^2-2y+1) = 19 + 1 -4<BR>\n" );
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document.write( "(x+1)^2 -4(y-1)^2 = 16<BR>\n" );
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document.write( "Divide by 16 to get:<BR>\n" );
document.write( "(x+1)^2/16 - (y-1)^2/4 = 1<BR>\n" );
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document.write( "The graph is a hyperbola opening to the right and left<BR>\n" );
document.write( "with center at (-1,1)<BR>\n" );
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document.write( "Yes, it's a challenge to put that in a graphing calculator.<BR>\n" );
document.write( "Check with your friends and/or you teacher.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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