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Beliebt Geometry >

leitkurve-x^2+6x+1

Lösung

leitkurve

- x^{2} + 6 x + 1

Lösung

y = \frac{41}{4}

Schritte zur Lösung

Rewrite

y = - x^{2} + 6 x + 1

in the standard form

4 (- \frac{1}{4}) (y - 10) = (x - 3)^{2}

(h, k) = (3, 10), 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

(3, 10)

y-coordinate

y = 10 - p

y = 10 - (- \frac{1}{4})

Fasse zusammen

y = \frac{41}{4}

Graph

Beliebte Beispiele

leitkurve y=3x^2+1-(x+4)

d i rec t r i x y = 3 x^{2} + 1 - (x + 4)

leitkurve x^2=8(y+4)

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

leitkurve y=2x(x-9)-(x-9)

d i rec t r i x y = 2 x (x - 9) - (x - 9)

leitkurve y=2x^2-10x+12

d i rec t r i x y = 2 x^{2} - 10 x + 12

leitkurve-x^2+14x-45

d i rec t r i x - x^{2} + 14 x - 45