x^2-1/2 y^2-1/2 y=0

解

x^{2} - \frac{1}{2} y^{2} - \frac{1}{2} y = 0

(h, k) = (0, - \frac{1}{2}), a = \frac{1}{2}, b = \frac{1}{2 2}

解答ステップ

x^{2} - \frac{1}{2} y^{2} - \frac{1}{2} y = 0

x^{2} - \frac{1}{2} y^{2} - \frac{1}{2} y = 0

を標準的な双曲線のequationで書き換える

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

ゆえに双曲線の特性は:

(h, k) = (0, - \frac{1}{2}), a = \frac{1}{2}, b = \frac{1}{2 2}