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Beliebt Geometry >

leitkurve (x-2)^2=-(y-1)

Lösung

leitkurve

(x - 2)^{2} = - (y - 1)

Lösung

y = \frac{5}{4}

Schritte zur Lösung

Rewrite

(x - 2)^{2} = - (y - 1)

in the standard form:

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

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

(2, 1)

y-coordinate

y = 1 - p

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

Fasse zusammen

y = \frac{5}{4}

Graph

Beliebte Beispiele

leitkurve y=x^2-2x+5

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

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

d i rec t r i x y = - 3 x^{2} + 6 x - 1

leitkurve X^2-5X-24

d i rec t r i x X^{2} - 5 X - 24

leitkurve y=2x^2+5x+2

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

leitkurve y^2+4y+8x-12=0

d i rec t r i x y^{2} + 4 y + 8 x - 12 = 0