document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=167394>Question 167394</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I really need help on these two questions.<BR>\n" );
document.write( "Graph:  1. 16x^2+9y^2=144<BR>\n" );
document.write( "        2. x^2/9-(y+2)^2/9=1<BR>\n" );
document.write( "I don't understand how to do these.  I have to show my work.<BR>\n" );
document.write( "PLEASE HELP!!!<BR>\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #123450 by </B><A HREF=/tutors/aboutme.mpl?userid=KnightOwlTutor><B>KnightOwlTutor(293)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KnightOwlTutor><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/cgi-bin/show-face.mpl?user=KnightOwlTutor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=123450\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The first equation is an ellipse. This is an example of a conic section.\r<BR>\n" );
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document.write( "The first step is to divide each term by 144. The equation now becomes x^2/9+y^2/16=1\r<BR>\n" );
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document.write( "Make y=0 so that you can determine where the x intercets are on the x axis\r<BR>\n" );
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document.write( "what 2 numbers squared make the equation =1? It would be + or -3. Make dots on the x axis at these two points on the axis. Then make x=0 what two values make the equation =1  + or -4. These are your y intercepts. Connect the together to form an oval. A circle is a special type of an ellipse.\r<BR>\n" );
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document.write( "The second equation is a hyperbola\r<BR>\n" );
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document.write( "x^2/9-(y+2)^2/9=1\r<BR>\n" );
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document.write( "Again make y=0\r<BR>\n" );
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document.write( "x= + or - 3. Plot these points.\r<BR>\n" );
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document.write( "the y has no value but they are the limits of the equation.\r<BR>\n" );
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document.write( "Draw two dashed lines at y= +3 and at y=-3 straight across the graph. Make a horseshoe graph at x=+3 and x=-3 but never touching the two dashed lines. This is the vertex of the graph at each side. Therefore you have two horseshoe graph going to infinity in opposite directions.\r<BR>\n" );
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