x^2-2x+3y-8=0

Lösung

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

(h, k) = (1, 3), p = - \frac{3}{4}

Schritte zur Lösung

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

Rewrite

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

in the standard form

4 (- \frac{3}{4}) (y - 3) = (x - 1)^{2}

Therefore parabola properties are:

(h, k) = (1, 3), p = - \frac{3}{4}

y^{2} - 48 x = 0

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

9 x - 4 y^{2} = 2

4 x^{2} - 3 y - 576 = 0

y - 81 = 4 x^{2} - 36 x