Use the center vertoes and asymptotes to graph the hyperbola

Use the center, vertoes, and asymptotes to graph the hyperbola. Locate the foci and fndthe equations of the asymptotes. Graph the hyperbola Choose the correct graph below. O B. Determine the location of the foci (Type an ordered pai. simply your answer. Type an exact answer using nadcals as needed use a comma to separate answers as needed) The equations of the asymptotes are t use integers numbers inthe equason in pointsiope form. orfractions for any Click to select your answer(s). O D. A A 40

Solution

(x+2)^2/64 -(y+3)^2/81=1

center (h,k)=(-2,-3)

a=8 , b=9

c^2 =64+81=145

c=sqrt145

vertices=(h+-a,k) =(-2+-8,-3) =(-10,-3),(6,-3)

focii=(h+-c,k) =(-2+-sqrt145,-3)

correct graph is a