document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=625961>Question 625961</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph the equation. Identify the center, vertices and Foci.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2B3%29%5E2%2F16+-+%28y-1%29%5E2%2F25=1+ ALIGN=MIDDLE  ALT=\"+%28x%2B3%29%5E2%2F16+-+%28y-1%29%5E2%2F25=1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #393916 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=393916\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Graph the equation. Identify the center, vertices and Foci<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%5E2%2F16+-+%28y-1%29%5E2%2F25=1 ALIGN=MIDDLE  ALT=\"%28x%2B3%29%5E2%2F16+-+%28y-1%29%5E2%2F25=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is an equation of a hyperbola with horizontal transverse axis.<BR>\n" );
document.write( "Its standard form of equation:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For given equation:<BR>\n" );
document.write( "center: (-3,1)<BR>\n" );
document.write( "a^2=16<BR>\n" );
document.write( "a=&#8730;16=4<BR>\n" );
document.write( "vertices: (-3±a,1)=(-3±4,1)=(-7,1) and (1,1)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "b^2=25<BR>\n" );
document.write( "b=&#8730;25=5<BR>\n" );
document.write( "..<BR>\n" );
document.write( "c^2=a^2+b^2=16+25=41<BR>\n" );
document.write( "c=&#8730;41&#8776;6.4<BR>\n" );
document.write( "Foci:  (-3±c,1)=(-3±6.4,1)=(-9.4,1) and (3.4,1)<BR>\n" );
document.write( "see graph below:<BR>\n" );
document.write( "y=±(25(x+3)^2/16-25)^.5+1\r<BR>\n" );
document.write( "\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%2825%28x%2B3%29%5E2%2F16-25%29%5E.5%2B1%2C-%2825%28x%2B3%29%5E2%2F16-25%29%5E.5%2B1%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );