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Beliebt Geometry >

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

Lösung

leitkurve

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

Lösung

y = \frac{27}{4}

Schritte zur Lösung

Rewrite

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

in the standard form:

4 (- \frac{3}{4}) (y - 6) = (x - (- 1))^{2}

(h, k) = (- 1, 6), p = - \frac{3}{4}

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, 6)

y-coordinate

y = 6 - p

y = 6 - (- \frac{3}{4})

Fasse zusammen

y = \frac{27}{4}

Graph

Beliebte Beispiele

leitkurve x= 1/4 (y+4)^2+2

d i rec t r i x x = \frac{1}{4} (y + 4)^{2} + 2

leitkurve 2(x^2+6x)+5y+8=0

d i rec t r i x 2 (x^{2} + 6 x) + 5 y + 8 = 0

leitkurve 10x^2

d i rec t r i x 10 x^{2}

leitkurve-4x^2-2x+1

d i rec t r i x - 4 x^{2} - 2 x + 1

leitkurve (x+5)^2=12(y-2)

d i rec t r i x (x + 5)^{2} = 12 (y - 2)