document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=605629>Question 605629</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation in standard form of the hyperbola with vertices (-3, 2) and (1, 2) and slope of asymptotes +-3/2. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #381755 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=381755\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the equation in standard form of the hyperbola with vertices (-3, 2) and (1, 2) and slope of asymptotes +-3/2.<BR>\n" );
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document.write( "This is a hyperbola with horizontal transverse axis.<BR>\n" );
document.write( "Its standard form of equation: (x-h)^2/a^2-(y-k)^2/b^2=1, (h,k)=(x,y) coordinates of center.<BR>\n" );
document.write( "center:(-1,2)<BR>\n" );
document.write( "length of horizontal transverse axis=4 (-3 to 1)=2a<BR>\n" );
document.write( "a=2<BR>\n" );
document.write( "a^2=4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "given slope of asymptote=b/a=3/2<BR>\n" );
document.write( "b=3a/2=3*2/2=3<BR>\n" );
document.write( "b^2=9<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Equation: <BR>\n" );
document.write( " (x+1)^2/4-(y-2)^2/9=1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );