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Beliebt Geometry >

leitkurve y=-3x^2-12x-17

Lösung

leitkurve

y = - 3 x^{2} - 12 x - 17

Lösung

y = - \frac{59}{12}

Schritte zur Lösung

Rewrite

y = - 3 x^{2} - 12 x - 17

in the standard form

4 (- \frac{1}{12}) (y - (- 5)) = (x - (- 2))^{2}

(h, k) = (- 2, - 5), 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

(- 2, - 5)

y-coordinate

y = - 5 - p

y = - 5 - (- \frac{1}{12})

Fasse zusammen

y = - \frac{59}{12}

Graph

Beliebte Beispiele

leitkurve 3x-3x^2

d i rec t r i x 3 x - 3 x^{2}

leitkurve y^2=36x

d i rec t r i x y^{2} = 36 x

leitkurve-1/2 x^2+5x-2

d i rec t r i x - \frac{1}{2} x^{2} + 5 x - 2

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

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

leitkurve 16x^2-25

d i rec t r i x 16 x^{2} - 25