document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=752064>Question 752064</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of a hyperbola with center<BR>\n" );
document.write( "(4, 3), vertex (4, 7) and asymptote y-3=4/5(x-4). </SPAN>\n" );
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document.write( "(4, 3), vertex (4, 7) and asymptote y-3=4/5(x-4).<BR>\n" );
document.write( "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;\" ><BR>\n" );
document.write( "a=4 (distance from center to vertex on vertical transverse axis)<BR>\n" );
document.write( "a^2=16<BR>\n" );
document.write( "slope of asymptote=4/5=a/b<BR>\n" );
document.write( "b=5a/4=5<BR>\n" );
document.write( "b^2=25<BR>\n" );
document.write( "For given hyperbola:<BR>\n" );
document.write( "Equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-3%29%5E2%2F16-%28x-4%29%5E2%2F25=1 ALIGN=MIDDLE  ALT=\"%28y-3%29%5E2%2F16-%28x-4%29%5E2%2F25=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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