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Beliebt Geometry >

leitkurve 4x-3x^2

Lösung

leitkurve

4 x - 3 x^{2}

Lösung

y = \frac{17}{12}

Schritte zur Lösung

Rewrite

y = 4 x - 3 x^{2}

in the standard form

4 (- \frac{1}{12}) (y - \frac{4}{3}) = (x - \frac{2}{3})^{2}

(h, k) = (\frac{2}{3}, \frac{4}{3}), p = - \frac{1}{12}

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

(\frac{2}{3}, \frac{4}{3})

y-coordinate

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

y = \frac{4}{3} - (- \frac{1}{12})

Fasse zusammen

y = \frac{17}{12}

Graph

Beliebte Beispiele

leitkurve 5x^2+7

d i rec t r i x 5 x^{2} + 7

leitkurve (x+1)^2=-12(y-6)

d i rec t r i x (x + 1)^{2} = - 12 (y - 6)

leitkurve 4x^2-12x-2

d i rec t r i x 4 x^{2} - 12 x - 2

leitkurve 3x^2+4x-3

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

leitkurve y=600-10x+0.25x^2

d i rec t r i x y = 600 - 10 x + 0.25 x^{2}