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Beliebt Geometry >

leitkurve-4x^2+8x+1

Lösung

leitkurve

- 4 x^{2} + 8 x + 1

Lösung

y = \frac{81}{16}

Schritte zur Lösung

Rewrite

y = - 4 x^{2} + 8 x + 1

in the standard form

4 (- \frac{1}{16}) (y - 5) = (x - 1)^{2}

(h, k) = (1, 5), p = - \frac{1}{16}

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, 5)

y-coordinate

y = 5 - p

y = 5 - (- \frac{1}{16})

Fasse zusammen

y = \frac{81}{16}

Graph

Beliebte Beispiele

leitkurve x-4y^2=0

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

leitkurve x=(-y-1)(y+3)

d i rec t r i x x = (- y - 1) (y + 3)

leitkurve y=24x-3x^2

d i rec t r i x y = 24 x - 3 x^{2}

leitkurve x=-5y^2

d i rec t r i x x = - 5 y^{2}

leitkurve y=(-x-1)(x+3)

d i rec t r i x y = (- x - 1) (x + 3)