document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=843243>Question 843243</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Place in standard form and graph x^2+2x-4y^2+24y+10=0<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #508099 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=508099\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Place in standard form and graph <BR>\n" );
document.write( "x^2+2x-4y^2+24y+10=0<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "(x^2+2x+1)-4(y^2-6y+9)=-10+1-36<BR>\n" );
document.write( "(x+1)^2-4(y-3)^2=-45<BR>\n" );
document.write( "4(y-3)^2-(x+1)^2=45<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-3%29%5E2%2F%2845%2F4%29-%28x%2B1%29%5E2%2F45=1 ALIGN=MIDDLE  ALT=\"%28y-3%29%5E2%2F%2845%2F4%29-%28x%2B1%29%5E2%2F45=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is an equation of a hyperbola with vertical transverse axis and center at (-1,3)<BR>\n" );
document.write( "See graph below:<BR>\n" );
document.write( "y=((45+(x+2)^2)^.5)/2+3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C%28%2845%2B%28x%2B2%29%5E2%29%5E.5%29%2F2%2B3%2C-%28%2845%2B%28x%2B2%29%5E2%29%5E.5%29%2F2%2B3%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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