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Beliebt Geometry >

leitkurve y=-3(x+2)^2+5

Lösung

leitkurve

y = - 3 (x + 2)^{2} + 5

Lösung

y = \frac{61}{12}

Schritte zur Lösung

Rewrite

y = - 3 (x + 2)^{2} + 5

in the standard form:

4 (- \frac{1}{12}) (y - 5) = (x - (- 2))^{2}

(h, k) = (- 2, 5), p = - \frac{1}{12}

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}{12})

Fasse zusammen

y = \frac{61}{12}

Graph

Beliebte Beispiele

leitkurve y=7x^2-3

d i rec t r i x y = 7 x^{2} - 3

leitkurve 4y^2+x-32y+68=0

d i rec t r i x 4 y^{2} + x - 32 y + 68 = 0

leitkurve y^2-12x=0

d i rec t r i x y^{2} - 12 x = 0

leitkurve x^2-16

d i rec t r i x x^{2} - 16

leitkurve-0.0001x^2+6.4x+7600

d i rec t r i x - 0.0001 x^{2} + 6.4 x + 7600