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Beliebt Geometry >

leitkurve 2(x-3)^2+6

Lösung

leitkurve

2 (x - 3)^{2} + 6

Lösung

y = \frac{47}{8}

Schritte zur Lösung

Rewrite

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

in the standard form:

4 \cdot \frac{1}{8} (y - 6) = (x - 3)^{2}

(h, k) = (3, 6), p = \frac{1}{8}

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

(3, 6)

y-coordinate

y = 6 - p

y = 6 - \frac{1}{8}

Fasse zusammen

y = \frac{47}{8}

Graph

Beliebte Beispiele

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

d i rec t r i x y = - 3 x^{2} + 12 x - 8

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)