document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=587756>Question 587756</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the graph choose the appropriate domain and range.\r<BR>\n" );
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document.write( "2y^2-x^2=8\r<BR>\n" );
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document.write( "http://s966.photobucket.com/albums/ae144/jsic12345/?action=view&current=conic.gif </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #374253 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=374253\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For the graph choose the appropriate domain and range. <BR>\n" );
document.write( "2y^2-x^2=8 <BR>\n" );
document.write( "divide by 8<BR>\n" );
document.write( "y^2/4-x^2/8=1<BR>\n" );
document.write( "This is an equation of a hyperbola with vertical transverse axis of the standard form:<BR>\n" );
document.write( "(y-k)^2/a^2-(x-h)^2/b^2=1, (h,k) being the (x,y) coordinates of the center.<BR>\n" );
document.write( "For given equation:<BR>\n" );
document.write( "center:(0,0)<BR>\n" );
document.write( "a^2=4<BR>\n" );
document.write( "a=2<BR>\n" );
document.write( "length of transverse axis=2a=4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "b^2=8<BR>\n" );
document.write( "b=&#8730;8<BR>\n" );
document.write( "length of conjugate axis=2b=2&#8730;8<BR>\n" );
document.write( "..<BR>\n" );
document.write( "As you can see from the graph below, there are no restrictions on domain and range.<BR>\n" );
document.write( "Domain: all real numbers or (-&#8734;,&#8734;)<BR>\n" );
document.write( "Range:all real numbers or (-&#8734;,&#8734;)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y=±(x^2/2+4)^.5<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+%28x%5E2%2F2%2B4%29%5E.5%2C-%28x%5E2%2F2%2B4%29%5E.5%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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