Please solve the following (find the center, transverse axis, vertices, foci, as

Question

Please solve the following (find the center, transverse axis, vertices, foci, asymptotes)

for y^2-36x^2-144x-6y-171 = 0

Find the center, transverse axis, vertices, foci, and asymptotes. Graph the equation y2-36x2-72x-6y-63#0 The center of the hyperbola is at (1,3) Type an ordered pair.) The transverse axis is parallel to the y-axis. The vertices are at (-1.9) (-1,-3) Type an ordered pair. Use a comma to separate answers as needed.) The foci are at -13+37).(-1.3- /37) (Simplify your answer. Type an ordered pair. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) The asymptotes re36(+). (Simplify your answers. Use integers or fractions for any numbers in the expressions.) Graph the hyperbola. Choose the correct graph below. ??. ??. D. 20 20 20

Explanation / Answer

y^2 - 36x^2 -72x -6y - 63 = 0

y^2 - 6y - 36x^2 - 72x - 63 = 0

( y - 3)^2 - 36 ( x + 1 )^2 - 9 + 36 - 63 = 0

( y - 3)^2/ 26 - ( x+ 1)^2/1 = 1

center = ( -1 , 3 )

transverse axis is parallel to y axis

vertices = ( h , k + a ) , ( h , k - a )

= (-1 , 9 ) ( -1 , -3 )

foci = ( h , k + c ) , ( h , k - c)

= ( -1 , 3 + sqrt 37 ) , ( -1 , 3 - sqrt 37 )

asymptotes

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

y = 6 ( x+1 ) + 3 , y = -6 ( x+1 ) +3

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---