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Beliebt Geometry >

leitkurve-x^2+8x-10

Lösung

leitkurve

- x^{2} + 8 x - 10

Lösung

y = \frac{25}{4}

Schritte zur Lösung

Rewrite

y = - x^{2} + 8 x - 10

in the standard form

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

(h, k) = (4, 6), 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

(4, 6)

y-coordinate

y = 6 - p

y = 6 - (- \frac{1}{4})

Fasse zusammen

y = \frac{25}{4}

Graph

Beliebte Beispiele

leitkurve y=-4x^2-12x-8

d i rec t r i x y = - 4 x^{2} - 12 x - 8

leitkurve x^2+16y=0

d i rec t r i x x^{2} + 16 y = 0

leitkurve y=4x^2-24x-30

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

leitkurve 8y=x^2

d i rec t r i x 8 y = x^{2}

leitkurve x^2=36y

d i rec t r i x x^{2} = 36 y