Score 0 of 1 pt 9 of 13 8 complete 11447 Find an equation fo

Score: 0 of 1 pt 9 of 13 (8 complete) 11.4.47 Find an equation for the hyperbola described. Graph the equation Vertices at (-2,-3) and (8,-3); asymptote the line y+3(x) Write an equation ios ihe hyperbola. -=1 8 (Type exact answers for each term, using fractions as needed.)

Solution

vertices at ( -2 , -3 ) and ( 8 ,-3 )

asymptotes y + 3 = 8/5 ( x- 3)

h + a = -2

h - a = 8

2h = 6

h = 3

a = -5

b = 8

hence, equation of hyperbola is

( x - 3)^2 / 25 - ( y + 3)^2 / 64 = 1