Please make the notes neatlegible also the options for the T

Please make the notes neat/legible, also the options for the The transverse axis is parallel to the ___ axis are: (x or y).

Also please include which graph it is (a,b,c or d).

Find the center, transverse axis, vertices, foci, and asymptotes. Graph the equation. The center is at C The transverse axis is parallel to the -axis Enter the coordinates of the two vertices. The let vert s located at The right vertex is local d at Enter the coordinates of the two foci The left focus is located at L. The right focus is located at Type exact answers, using radicals as needed. Simplify your answers.) Enter the carrect slope in the equation for the asymplates given below. x-2 Type an integer or a fraction Simplify your answer) Select the graph which correctly describes the hyperbola. O A. O B. O C. O D. sty

Solution

9y^2 - x^2 + 4x + 90y +225 =0

(x-2)^2/4 - (y +5)^2/(4/9) =1

Centre ( 2, -5)

a = 2 ; b =2/3

c^2 = 4 +16/81

c = 2sqrt10/3

Vertices: Right (2+2, -5) = ( 4, -5)

Left ( 2-2, -5) = ( 0, -5)

Foci left : ( (6 +2sqrt10)/3 , -5)

Right foci : ( (6 -2sqrt10)/3 , -5)

Asymtote :

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

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

Graph : Option D