document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=89902>Question 89902</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of the center at point (-2,3) and cruve passing through points (-2,0) and (2,3).\r<BR>\n" );
document.write( "\n" );
document.write( "Write the equation of the hyperbola with center at the origin, passting thourhg the points (-2,0) and (2,0) having a focus at (4,0)\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #65276 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=65276\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the equation of the center at point (-2,3) and cruve passing through points (-2,0) and (2,3).<BR>\n" );
document.write( "If you plot those points you see the curve cannot be a circle, hyperbola, or<BR>\n" );
document.write( "a parabola; it must be an ellipse.<BR>\n" );
document.write( "Form if Center at (-2,3):<BR>\n" );
document.write( "(x+2)^2/a^2 + (y-3)^2/b^2 = 1<BR>\n" );
document.write( "Distance from center to (2,3) = 4 = a<BR>\n" );
document.write( "Distance from center to (-2,0) = 2 = b<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "(x+2)^2/16 + (y-3)^2/4 = 1<BR>\n" );
document.write( "========================\r<BR>\n" );
document.write( "\n" );
document.write( "Write the equation of the hyperbola with center at the origin, passing through the points (-2,0) and (2,0) having a focus at (4,0)<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Plot the points<BR>\n" );
document.write( "Form of the hyperbola with center at (0,0):<BR>\n" );
document.write( "x^2/a^2 - y^2/b^2 = 1<BR>\n" );
document.write( "a = distance from center to vertex = 2<BR>\n" );
document.write( "c = distance from center to focus = 4<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "For a hyperbola c^2 = a^2+b^2<BR>\n" );
document.write( "16 = 4 + b^2<BR>\n" );
document.write( "b^2 = 12<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "x^2/4 - y^2/12 = 1<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );