Ise vertices and asymptotes to graph the hyperbola Locate t

\' Ise vertices and asymptotes to graph the hyperbola. Locate the foci and find the equations of the asymptotes. Next Question =1 9 16 Choose the correct graph. O A O B O C O D. .9 .9 .9 .9 The foci are (Type an ordered pair. Simplify your answer. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) The equations of the asymptotes are (Simplify your answer. Type your answer in point-slope form. Use integers or fractions for any numbers in the equation.)

Solution

(x/3+y/4)(x/3-y/4)=0 are asymptotes of hyperbola.

From the given equation

a=3,b=4

e={(a^2+b^2)}/a

e={9+16}/3

e=5/3

Foci =(ae,0) and (-ae,0)

=(3(5/3),0) & (-3(5/3),0)

= (5,0) & (-5,0)

Graph is

Option D