x^2+6x-16y+153=0

Lösung

x^{2} + 6 x - 16 y + 153 = 0

(h, k) = (- 3, 9), p = 4

Schritte zur Lösung

x^{2} + 6 x - 16 y + 153 = 0

Rewrite

x^{2} + 6 x - 16 y + 153 = 0

in the standard form

4 \cdot 4 (y - 9) = (x - (- 3))^{2}

Therefore parabola properties are:

(h, k) = (- 3, 9), p = 4

- f (x) = 3 x^{2} + 2 x - 2

(x + 1)^{2} = - 3 (y - 6)

- x + 3 y^{2} - 6 y = 4

y^{2} - x = 9

y = 8 x^{2} + 4 x - 1