((x-2)/9)^2+((y+2)/(25))^2=1

解

(\frac{x - 2}{9})^{2} + (\frac{y + 2}{25})^{2} = 1

(h, k) = (2, - 2), a = 9, b = 25

解答ステップ

(\frac{x - 2}{9})^{2} + (\frac{y + 2}{25})^{2} = 1

(\frac{x - 2}{9})^{2} + (\frac{y + 2}{25})^{2} = 1

を標準的な楕円のequationの形式で書き換える

\frac{( x - 2 ) ^{2}}{9 ^{2}} + \frac{( y - ( - 2 ) ) ^{2}}{2 5 ^{2}} = 1

ゆえに楕円の特性は:

(h, k) = (2, - 2), a = 9, b = 25

b > a

ゆえに

b

は半長径,

a

は半短径である

中心が (h, k) = (2, - 2), b = 25, a = 9 の楕円