((x+1)/9)^2-((y-3)/(16))^2=1

解

(\frac{x + 1}{9})^{2} - (\frac{y - 3}{16})^{2} = 1

(h, k) = (- 1, 3), a = 9, b = 16

解答ステップ

(\frac{x + 1}{9})^{2} - (\frac{y - 3}{16})^{2} = 1

(\frac{x + 1}{9})^{2} - (\frac{y - 3}{16})^{2} = 1

を標準的な双曲線のequationで書き換える

\frac{( x - ( - 1 ) ) ^{2}}{9 ^{2}} - \frac{( y - 3 ) ^{2}}{1 6 ^{2}} = 1

ゆえに双曲線の特性は:

(h, k) = (- 1, 3), a = 9, b = 16