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Beliebt Geometry >

leitkurve y=-2x^2+8x

Lösung

leitkurve

y = - 2 x^{2} + 8 x

Lösung

y = \frac{65}{8}

Schritte zur Lösung

Rewrite

y = - 2 x^{2} + 8 x

in the standard form

4 (- \frac{1}{8}) (y - 8) = (x - 2)^{2}

(h, k) = (2, 8), p = - \frac{1}{8}

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

(2, 8)

y-coordinate

y = 8 - p

y = 8 - (- \frac{1}{8})

Fasse zusammen

y = \frac{65}{8}

Graph

Beliebte Beispiele

leitkurve y=-4x^2-4

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

leitkurve (x-4)^2=-8(y+3)

d i rec t r i x (x - 4)^{2} = - 8 (y + 3)

leitkurve y^2+33=-8x-23

d i rec t r i x y^{2} + 33 = - 8 x - 23

leitkurve-x^2+1

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

leitkurve-x^2+7

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