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Beliebt Geometry >

leitkurve-3x^2+5x

Lösung

leitkurve

- 3 x^{2} + 5 x

Lösung

y = \frac{13}{6}

Schritte zur Lösung

Rewrite

y = - 3 x^{2} + 5 x

in the standard form

4 (- \frac{1}{12}) (y - \frac{25}{12}) = (x - \frac{5}{6})^{2}

(h, k) = (\frac{5}{6}, \frac{25}{12}), 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{5}{6}, \frac{25}{12})

y-coordinate

y = \frac{25}{12} - p

y = \frac{25}{12} - (- \frac{1}{12})

Fasse zusammen

y = \frac{13}{6}

Graph

Beliebte Beispiele

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

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

leitkurve y=2x^2+3pi

d i rec t r i x y = 2 x^{2} + 3 π

leitkurve x=(2y-1)(5y-6)

d i rec t r i x x = (2 y - 1) (5 y - 6)

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

d i rec t r i x + 2 (x + 1)^{2} - 3

leitkurve x^2-6y=0

d i rec t r i x x^{2} - 6 y = 0