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Beliebt Geometry >

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

Lösung

leitkurve

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

Lösung

y = \frac{7}{2}

Schritte zur Lösung

Rewrite

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

in the standard form:

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

(h, k) = (- 1, 4), 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

(- 1, 4)

y-coordinate

y = 4 - p

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

Fasse zusammen

y = \frac{7}{2}

Graph

Beliebte Beispiele

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

leitkurve y=x+x^2

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

leitkurve 4x-11y^2=0

d i rec t r i x 4 x - 11 y^{2} = 0

leitkurve+(y-2)=3(x-5)^2

d i rec t r i x + (y - 2) = 3 (x - 5)^{2}