顶点 (x^2}{36}-\frac{y^2)/4 =1

解答

顶点

\frac{x ^{2}}{36} - \frac{y ^{2}}{4} = 1

(6, 0), (- 6, 0)

求解步骤

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

计算双曲线性质

\frac{x ^{2}}{36} - \frac{y ^{2}}{4} = 1 :

左右开口双曲线，

(h, k) = (0, 0), a = 6, b = 2

(0 + 6, 0), (0 - 6, 0)

整理后得

(6, 0), (- 6, 0)

v er t i ces \frac{x ^{2}}{4} - \frac{y ^{2}}{5} = 1

v er t i ces 18 x^{2} - 32 y^{2} - 108 y - 128 x - 254 = 0

v er t i ces 9 y^{2} - 25 x^{2} - 100 x - 108 y - 1 = 0

v er t i ces \frac{( x + 5 ) ^{2}}{4} - \frac{y ^{2}}{4} = 1

v er t i ces - 9 x^{2} + 8 y^{2} + 36 x + 48 y = 36