(y^2)/(b^2)-(x^2)/(a^2)=1

解

\frac{y ^{2}}{b ^{2}} - \frac{x ^{2}}{a ^{2}} = 1

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

解答ステップ

\frac{y ^{2}}{b ^{2}} - \frac{x ^{2}}{a ^{2}} = 1

\frac{y ^{2}}{b ^{2}} - \frac{x ^{2}}{a ^{2}} = 1

を標準的な双曲線のequationで書き換える

\frac{( y - 0 ) ^{2}}{b ^{2}} - \frac{( x - 0 ) ^{2}}{a ^{2}} = 1

ゆえに双曲線の特性は:

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