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Beliebt Geometry >

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

Lösung

leitkurve

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

Lösung

y = \frac{11}{4}

Schritte zur Lösung

Rewrite

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

in the standard form:

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

(h, k) = (1, 3), 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, 3)

y-coordinate

y = 3 - p

y = 3 - \frac{1}{4}

Fasse zusammen

y = \frac{11}{4}

Graph

Beliebte Beispiele

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

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

leitkurve 8-3x-2x^2

d i rec t r i x 8 - 3 x - 2 x^{2}

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

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

leitkurve y^2+14y+4x+45=0

d i rec t r i x y^{2} + 14 y + 4 x + 45 = 0

leitkurve 2x^2+x-3

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