y^2=-8x

解答

y^{2} = - 8 x

(h, k) = (0, 0), p = - 2

求解步骤

y^{2} = - 8 x

将

y^{2} = - 8 x

改写为标准形式:

4 (- 2) (x - 0) = (y - 0)^{2}

因此抛物线性质是:

(h, k) = (0, 0), p = - 2

\frac{y ^{2}}{64} - \frac{x ^{2}}{36} = 1

9 x^{2} - 36 x - 4 y^{2} - 24 y - 36 = 0

x^{2} + 4 y^{2} = 16

4 x^{2} + 3 y^{2} + 8 x - 24 y + 51 = 0

9 y^{2} - 25 x^{2} = 225