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Beliebt Geometry >

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

Lösung

leitkurve

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

Lösung

y = \frac{7}{4}

Schritte zur Lösung

Rewrite

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

in the standard form:

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

(h, k) = (1, 2), 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

(1, 2)

y-coordinate

y = 2 - p

y = 2 - \frac{1}{4}

Fasse zusammen

y = \frac{7}{4}

Graph

Beliebte Beispiele

leitkurve x^2-4x+2

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

leitkurve x^2-4x+3

d i rec t r i x x^{2} - 4 x + 3

leitkurve y=3x-3x^2

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

leitkurve x^2-4x+1

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

leitkurve y=-x^2-6x-13

d i rec t r i x y = - x^{2} - 6 x - 13