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Beliebt Geometry >

leitkurve y=-3x^2+12x-8

Lösung

leitkurve

y = - 3 x^{2} + 12 x - 8

Lösung

y = \frac{49}{12}

Schritte zur Lösung

Rewrite

y = - 3 x^{2} + 12 x - 8

in the standard form

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

(h, k) = (2, 4), 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, 4)

y-coordinate

y = 4 - p

y = 4 - (- \frac{1}{12})

Fasse zusammen

y = \frac{49}{12}

Graph

Beliebte Beispiele

leitkurve x^2-6x-12y-51=0

d i rec t r i x x^{2} - 6 x - 12 y - 51 = 0

leitkurve (x+3)^2=8(y-2)

d i rec t r i x (x + 3)^{2} = 8 (y - 2)

leitkurve y=+(x+5)^2+3

d i rec t r i x y = + (x + 5)^{2} + 3

leitkurve (y+6)^2= 15/11 (x+12)

d i rec t r i x (y + 6)^{2} = \frac{15}{11} (x + 12)

leitkurve y^2+10x=0

d i rec t r i x y^{2} + 10 x = 0