document.write( "Question 88789: Sketch the graph of the hyperbola y^2/25- x^2/4= 1. Draw the fundamental rectangle. Find the equations of the asymptotes and label the asymptotes on your graph. \n" ); document.write( "
Algebra.Com's Answer #65914 by Nate(3500)![]() ![]() ![]() You can put this solution on YOUR website! Asymptotes: y = 2.5x and y = -2.5x \n" ); document.write( " \n" ); document.write( "~ Vertical Hyperbola \n" ); document.write( "~ 2a units vertical ~> 10 units \n" ); document.write( "~ 2b units horizontal ~> 4 units \n" ); document.write( "~ Centre: (0,0) \n" ); document.write( "Points for fundamental rectangle: (2,5), (-2,5), (2,-5), (-2,-5) \n" ); document.write( "~ Asymptotes: \n" ); document.write( "m = (5 - 0)/(2 - 0) = 2.5 and m = (-5 - 0)/(2 - 0) = -2.5 \n" ); document.write( "y = 2.5(x - 0) + 0 and y = -2.5(x - 0) + 0 \n" ); document.write( "y = 2.5x and y = -2.5 \n" ); document.write( " |