document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=668117>Question 668117</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the question says, \"identify each curve. find the characteristics listed.\"\r<BR>\n" );
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document.write( "y^2/16 - x^2/9 =1.   center asymptote foci\r<BR>\n" );
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document.write( "x^2/64 + y^2/16 = 1. center vertices foci\r<BR>\n" );
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document.write( "someone help please, this is very confusing </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #415455 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=415455\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the question says, \"identify each curve. find the characteristics listed.\" <BR>\n" );
document.write( "y^2/16 - x^2/9 =1. center asymptote foci<BR>\n" );
document.write( "x^2/64 + y^2/16 = 1. center vertices foci <BR>\n" );
document.write( "**<BR>\n" );
document.write( "find: center, asymptote, foci<BR>\n" );
document.write( "y^2/16-x^2/9 =1<BR>\n" );
document.write( "This is an equation of a hyperbola with vertical  transverse axis.<BR>\n" );
document.write( "Its standard form:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-k%29%5E2%2Fa%5E2-%28x-h%29%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"%28y-k%29%5E2%2Fa%5E2-%28x-h%29%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, (h,k)=(x,y) coordinates of center<BR>\n" );
document.write( "For given equation: y^2/16-x^2/9 =1<BR>\n" );
document.write( "center: (0,0)<BR>\n" );
document.write( "a^2=16<BR>\n" );
document.write( "a=&#8730;16=4<BR>\n" );
document.write( "b^2=9<BR>\n" );
document.write( "b=&#8730;9=3<BR>\n" );
document.write( "Foci:<BR>\n" );
document.write( "c^2=a^2+b^2=16+9=25<BR>\n" );
document.write( "c=&#8730;25=5<BR>\n" );
document.write( "Foci=(0,5) and (0,-5)<BR>\n" );
document.write( "asymptotes are straight lines that go thru the center and are of the form: y=mx+b, m=slope, b=y-intercept<BR>\n" );
document.write( "slopes of asymptotes for hyperbolas with vertical transverse axis=±a/b=±4/3<BR>\n" );
document.write( "Equations of asymptotes:<BR>\n" );
document.write( "y=-4x/3<BR>\n" );
document.write( "and<BR>\n" );
document.write( "y=4x/3<BR>\n" );
document.write( "...<BR>\n" );
document.write( "find: center, vertices, foci<BR>\n" );
document.write( "x^2/64 + y^2/16 = 1<BR>\n" );
document.write( "This is an equation of an ellipse with horizontal major axis axis.<BR>\n" );
document.write( "Its standard form:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, (h,k)=(x,y) coordinates of center<BR>\n" );
document.write( "For given equation: x^2/64+y^2/16=1<BR>\n" );
document.write( "center: (0,0)<BR>\n" );
document.write( "a^2=64<BR>\n" );
document.write( "a=&#8730;64=8<BR>\n" );
document.write( "vertices: (0,8) and (0,-8)<BR>\n" );
document.write( "b^2=16<BR>\n" );
document.write( "b=&#8730;16=4<BR>\n" );
document.write( "Foci:<BR>\n" );
document.write( "c^2=a^2-b^2=64-16=48<BR>\n" );
document.write( "c=&#8730;48<BR>\n" );
document.write( "Foci=(0,&#8730;48) and (0,-&#8730;48)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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