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Beliebt Geometry >

leitkurve-x^2-4x+1

Lösung

leitkurve

- x^{2} - 4 x + 1

Lösung

y = \frac{21}{4}

Schritte zur Lösung

Rewrite

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

in the standard form

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

(h, k) = (- 2, 5), p = - \frac{1}{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

(- 2, 5)

y-coordinate

y = 5 - p

y = 5 - (- \frac{1}{4})

Fasse zusammen

y = \frac{21}{4}

Graph

Beliebte Beispiele

leitkurve y-7= 1/24 (x+4)^2

d i rec t r i x y - 7 = \frac{1}{24} (x + 4)^{2}

leitkurve 4x^2-24x-30

d i rec t r i x 4 x^{2} - 24 x - 30

leitkurve-y^2=6y+x

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

leitkurve x=-1/20 (y+6)^2-7

d i rec t r i x x = - \frac{1}{20} (y + 6)^{2} - 7

leitkurve (y^2+12y+36)/(60)

d i rec t r i x \frac{y ^{2} + 12 y + 36}{60}