渐近线-9x^2+8y^2+36x+48y=36

解答

渐近线

- 9 x^{2} + 8 y^{2} + 36 x + 48 y = 36

y = \frac{3}{2 2} (x - 2) - 3, y = - \frac{3}{2 2} (x - 2) - 3

求解步骤

y = \pm \frac{a}{b} (x - h) + k

计算双曲线性质

- 9 x^{2} + 8 y^{2} + 36 x + 48 y = 36 :

上下开口双曲线，

(h, k) = (2, - 3), a = 3, b = 22

y = \frac{3}{2 2} (x - 2) + (- 3), y = - \frac{3}{2 2} (x - 2) + (- 3)

a sy m pt o t es x^{2} - y^{2} + 2 y = 2

a sy m pt o t es 5 x^{2} - 4 y^{2} - 20 x - 8 y = 4

a sy m pt o t es 4 x^{2} - 9 y^{2} = 144

a sy m pt o t es \frac{( x + 2 ) ^{2}}{4} - \frac{( y - 1 ) ^{2}}{9} = 1

a sy m pt o t es 4 x^{2} - 25 y^{2} + 100 y = 200