(((x+1))/(16))^2-(((y-4))/(25))^2=1

解答

(\frac{( x + 1 )}{16})^{2} - (\frac{( y - 4 )}{25})^{2} = 1

(h, k) = (- 1, 4), a = 16, b = 25

求解步骤

(\frac{x + 1}{16})^{2} - (\frac{y - 4}{25})^{2} = 1

将

(\frac{x + 1}{16})^{2} - (\frac{y - 4}{25})^{2} = 1

改写为标准双曲线方程形式

\frac{( x - ( - 1 ) ) ^{2}}{1 6 ^{2}} - \frac{( y - 4 ) ^{2}}{2 5 ^{2}} = 1

因此双曲线的性质为:

(h, k) = (- 1, 4), a = 16, b = 25