document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=413360>Question 413360</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i need to find the asymptotes of:<BR>\n" );
document.write( "(x/4)2-(y/2)2=1<BR>\n" );
document.write( "the 2 after the parenthesis means its squared.<BR>\n" );
document.write( "i know the equation is y=b/a x, and y=-b/a x<BR>\n" );
document.write( "so a = root 2 and b= root 2, is the answer 1?, can you better explain how to solve the problem? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #290137 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=290137\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i need to find the asymptotes of:<BR>\n" );
document.write( "(x/4)2-(y/2)2=1\r<BR>\n" );
document.write( "\n" );
document.write( "..<BR>\n" );
document.write( "Standard form of given hyperbola is: x^2/a^2-y^2/b^2=1<BR>\n" );
document.write( "What you have here is: <BR>\n" );
document.write( "x^2/16-y^2/4=1<BR>\n" );
document.write( "This is a hyperbola with center at (0,0) that open sideways, that is, its transverse axis is horizontal.<BR>\n" );
document.write( "a^2=16<BR>\n" );
document.write( "a=4<BR>\n" );
document.write( "b^2=4<BR>\n" );
document.write( "b=2<BR>\n" );
document.write( "like you said, the equations of the asymptotes are: y=b/ax and-b/ax.<BR>\n" );
document.write( "For the given hyperbola, y=(2/4)x and y=-(2/4)x<BR>\n" );
document.write( "See the graph below for a visual picture of the asymptotes. You might note that equations of the asymptotes are equations of straight lines of standard form, y=mx+b, with the y-intercept=0 and the slopes, m=b/a and m=-b/a<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y=((x^2-16)/4)^.5<BR>\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+%28%28x%5E2-16%29%2F4%29%5E.5%2C-%28%28x%5E2-16%29%2F4%29%5E.5%2C.5x%2C-.5x%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );