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Beliebt Geometry >

leitkurve-x^2+5x+6

Lösung

leitkurve

- x^{2} + 5 x + 6

Lösung

y = \frac{25}{2}

Schritte zur Lösung

Rewrite

y = - x^{2} + 5 x + 6

in the standard form

4 (- \frac{1}{4}) (y - \frac{49}{4}) = (x - \frac{5}{2})^{2}

(h, k) = (\frac{5}{2}, \frac{49}{4}), 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

(\frac{5}{2}, \frac{49}{4})

y-coordinate

y = \frac{49}{4} - p

y = \frac{49}{4} - (- \frac{1}{4})

Fasse zusammen

y = \frac{25}{2}

Graph

Beliebte Beispiele

leitkurve x=-1/4 y^2

d i rec t r i x x = - \frac{1}{4} y^{2}

leitkurve 5x+3y^2=0

d i rec t r i x 5 x + 3 y^{2} = 0

leitkurve+(x-1)^2+2

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

leitkurve x^2+2x-8

d i rec t r i x x^{2} + 2 x - 8

leitkurve x^2+2x-1

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