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Beliebt Geometry >

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

Lösung

leitkurve

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

Lösung

y = - \frac{5}{2}

Schritte zur Lösung

Rewrite

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

in the standard form:

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

(h, k) = (2, - 2), p = \frac{1}{2}

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, - 2)

y-coordinate

y = - 2 - p

y = - 2 - \frac{1}{2}

Fasse zusammen

y = - \frac{5}{2}

Graph

Beliebte Beispiele

leitkurve x=-((y+3)^2)/(20)+1

d i rec t r i x x = - \frac{( y + 3 ) ^{2}}{20} + 1

leitkurve 2x^2-4

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

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

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

leitkurve (y-6)^2=36(x-2)

d i rec t r i x (y - 6)^{2} = 36 (x - 2)

leitkurve (x-0)^2=4y-4

d i rec t r i x (x - 0)^{2} = 4 y - 4