Graph the equation x 229 9325 1 Find the center the lines

Graph the equation: (x + 2)^2/9 - 9^3/25 = 1 Find the center the lines which contain the transverse and conjugate the vertices the foci and the equations of the asymptotes.

Solution

(x+2)^2/9 - y^2 /25 = 1

centre ( -2, 0)

a = 3; b = 5

Foci (-2 +c , 0 ) and ( -2-c , 0)

c = sqrt34

Foci = ( -2 +sqrt34 ) and ( -2 -sqrt34, 0)

Asymtotes : y = +/- b/a(x- h) +k

= +/- 5/3(x +2) +0

y = +/- 5/3(x +2)