document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=616154>Question 616154</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2. The equation of a hyperbola is given by  (x-1)^2/16 - (y+1)^2/9 =1<BR>\n" );
document.write( "a. Give the coordinates of the center of the hyperbola.<BR>\n" );
document.write( "b. Give the length of the transverse and conjugate axes.<BR>\n" );
document.write( "c. Give the slopes of the asymptotes.<BR>\n" );
document.write( "d. Give the coordinates of the foci.<BR>\n" );
document.write( "e. Graph the hyperbola. Label the center, midpoints of the associated rectangle, and foci.\r<BR>\n" );
document.write( "\n" );
document.write( "I have the first 2 done correctly I think. For a) 1, -1. For b) transverse 4, conjugate is 3. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #387515 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=387515\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">   <PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\"><font face = \"Tohoma\" size = 3 color = \"indigo\"><b> <BR>\n" );
document.write( "Hi, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%5E2%2F16+-+%28y%2B1%29%5E2%2F9+=1 ALIGN=MIDDLE  ALT=\"%28x-1%29%5E2%2F16+-+%28y%2B1%29%5E2%2F9+=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%5E2%2F4%5E2+-+%28y%2B1%29%5E2%2F3%5E2+=1 ALIGN=MIDDLE  ALT=\"%28x-1%29%5E2%2F4%5E2+-+%28y%2B1%29%5E2%2F3%5E2+=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " a. Give the coordinates of the center of the hyperbola. Yes! C(1,-1)<BR>\n" );
document.write( " b. Give the length of the transverse axis <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%282%29%2A4+=+8 ALIGN=MIDDLE  ALT=\"highlight%282%29%2A4+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > and conjugate axes.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A3+=+6 ALIGN=MIDDLE  ALT=\"2%2A3+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " c. Give the slopes of the asymptotes. ±3/4 <BR>\n" );
document.write( "-1 = 3/4(1)+b, b = -7/4, y = (3/4)x-7/4  OR y = (-3/4)x-1/4<BR>\n" );
document.write( " d. Give the coordinates of the foci.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2816%2B9%29=sqrt%2825%29+=+5 ALIGN=MIDDLE  ALT=\"sqrt%2816%2B9%29=sqrt%2825%29+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > (1,4)&(1,-6)<BR>\n" );
document.write( " e. Graph the hyperbola. Label the center, midpoints of the associated rectangle, and foci. \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C+++-10%2C10%2C-10%2C10%2C++blue%28line%281%2C10%2C1%2C-10%29%29++%0D%0A+grid%281%29%2C%0D%0Acircle%281%2C+4%2C0.4%29%2C%0D%0Acircle%281%2C+-6%2C0.4%29%2C%0D%0Acircle%281%2C+-1%2C0.4%29%2C%0D%0Acircle%281%2C+2%2C0.4%29%2C%0D%0Acircle%281%2C+-4%2C0.4%29%2C%0D%0Agraph%28+300%2C+300%2C+-10%2C10%2C-10%2C10%2C0%2C%283%2F4%29x-7%2F4%2C%28-3%2F4%29x-1%2F4%2C+3sqrt%281%2B%28x-1%29%5E2%2F16%29-1%2C-3sqrt%281%2B%28x-1%29%5E2%2F16%29-1++%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );