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Beliebt Geometry >

leitkurve y=3x^2+6x-12

Lösung

leitkurve

y = 3 x^{2} + 6 x - 12

Lösung

y = - \frac{181}{12}

Schritte zur Lösung

Rewrite

y = 3 x^{2} + 6 x - 12

in the standard form

4 \cdot \frac{1}{12} (y - (- 15)) = (x - (- 1))^{2}

(h, k) = (- 1, - 15), p = \frac{1}{12}

Parabola is symmetric around the y-axis and so the directrix is a line parallel to the x-axis, a distance

- p

from the center

(- 1, - 15)

y-coordinate

y = - 15 - p

y = - 15 - \frac{1}{12}

Fasse zusammen

y = - \frac{181}{12}

Graph

Beliebte Beispiele

leitkurve (x-5)^2=20(y-5)

d i rec t r i x (x - 5)^{2} = 20 (y - 5)

leitkurve x^2=4(y-2)

d i rec t r i x x^{2} = 4 (y - 2)

leitkurve x=+17/4 (y+2)^2

d i rec t r i x x = + \frac{17}{4} (y + 2)^{2}

leitkurve (x-3)^2=-4(y-2)

d i rec t r i x (x - 3)^{2} = - 4 (y - 2)

leitkurve (x-2)^2=12(y-1)

d i rec t r i x (x - 2)^{2} = 12 (y - 1)