((x+1)/(36))^2-((y-4)/(64))^2=1

解

(\frac{x + 1}{36})^{2} - (\frac{y - 4}{64})^{2} = 1

(h, k) = (- 1, 4), a = 36, b = 64

解答ステップ

(\frac{x + 1}{36})^{2} - (\frac{y - 4}{64})^{2} = 1

(\frac{x + 1}{36})^{2} - (\frac{y - 4}{64})^{2} = 1

を標準的な双曲線のequationで書き換える

\frac{( x - ( - 1 ) ) ^{2}}{3 6 ^{2}} - \frac{( y - 4 ) ^{2}}{6 4 ^{2}} = 1

ゆえに双曲線の特性は:

(h, k) = (- 1, 4), a = 36, b = 64