v^2-v0^2=2a(s-s^0)

Lösung

v^{2} - v 0^{2} = 2 a (s - s^{0})

(h, k) = (0, 2 a), p = \frac{1}{4}

Schritte zur Lösung

v^{2} - v \cdot 0^{2} = 2 a (s - s^{0})

Rewrite

v^{2} - v \cdot 0^{2} - 2 a (s - s^{0}) = 0

in the standard form

4 \cdot \frac{1}{4} (s - 2 a) = (v - 0)^{2}

Therefore parabola properties are:

(h, k) = (0, 2 a), p = \frac{1}{4}

x^{2} + 76 x + 100 y + 100 = 0

4 x^{2} - y + 2 = 0

(y + 2)^{2} = 2 (x - 1)

x + y^{2} = - 1

x + y^{2} = - 3