document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=867669>Question 867669</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of a hyperbola with a vertex at (-2,15) , a focus at (-2,22) and a center at (-2,7) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #523240 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=523240\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation of a hyperbola with a vertex at (-2,15) , a focus at (-2,22) and a center at (-2,7)<BR>\n" );
document.write( "Given data shows hyperbola has a vertical transverse axis.<BR>\n" );
document.write( "Its standard form of equation: <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)=coordinates of center<BR>\n" );
document.write( "center:(-2,7)<BR>\n" );
document.write( "a=8 (distance from center to vertices on the vertical transverse axis)<BR>\n" );
document.write( "a^2=64<BR>\n" );
document.write( "c=15 (distance from center to foci on the vertical transverse axis)<BR>\n" );
document.write( "c^2=225<BR>\n" );
document.write( "c^2=a^2+b^2<BR>\n" );
document.write( "b^2=c^2-a^2=225-64=161<BR>\n" );
document.write( "equation of given hyperbola:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-7%29%5E2%2F64-%28x%2B2%29%5E2%2F161=1 ALIGN=MIDDLE  ALT=\"%28y-7%29%5E2%2F64-%28x%2B2%29%5E2%2F161=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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