y^2-5y-8=5x

Lösung

y^{2} - 5 y - 8 = 5 x

(h, k) = (- \frac{57}{20}, \frac{5}{2}), p = \frac{5}{4}

Schritte zur Lösung

y^{2} - 5 y - 8 = 5 x

Rewrite

y^{2} - 5 y - 8 = 5 x

in the standard form

4 \cdot \frac{5}{4} (x - (- \frac{57}{20})) = (y - \frac{5}{2})^{2}

Therefore parabola properties are:

(h, k) = (- \frac{57}{20}, \frac{5}{2}), p = \frac{5}{4}

x^{2} - 6 x - 3 y - 6 = 0

2 x^{2} + 3 x + y = - 4

x^{2} - 5 x + y = 0

(y + 1) (y + 1) = - 8 x

3 x^{2} + 30 x - 8 y + 75 = 0