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Beliebt Geometry >

leitkurve 1/3 x^2-8/3 x+1/3

Lösung

leitkurve

\frac{1}{3} x^{2} - \frac{8}{3} x + \frac{1}{3}

Lösung

y = - \frac{23}{4}

Schritte zur Lösung

Rewrite

y = \frac{1}{3} x^{2} - \frac{8}{3} x + \frac{1}{3}

in the standard form

4 \cdot \frac{3}{4} (y - (- 5)) = (x - 4)^{2}

(h, k) = (4, - 5), p = \frac{3}{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

(4, - 5)

y-coordinate

y = - 5 - p

y = - 5 - \frac{3}{4}

Fasse zusammen

y = - \frac{23}{4}

Graph

Beliebte Beispiele

leitkurve 3x^2-12x+5

d i rec t r i x 3 x^{2} - 12 x + 5

leitkurve x^2-4x-y+3=0

d i rec t r i x x^{2} - 4 x - y + 3 = 0

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

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

leitkurve 5x^2+4x-9

d i rec t r i x 5 x^{2} + 4 x - 9

leitkurve (x+3)^2=4(y+4)

d i rec t r i x (x + 3)^{2} = 4 (y + 4)