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Beliebt Geometry >

leitkurve y=3x^2-x+5

Lösung

leitkurve

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

Lösung

y = \frac{29}{6}

Schritte zur Lösung

Rewrite

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

in the standard form

4 \cdot \frac{1}{12} (y - \frac{59}{12}) = (x - \frac{1}{6})^{2}

(h, k) = (\frac{1}{6}, \frac{59}{12}), 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

(\frac{1}{6}, \frac{59}{12})

y-coordinate

y = \frac{59}{12} - p

y = \frac{59}{12} - \frac{1}{12}

Fasse zusammen

y = \frac{29}{6}

Graph

Beliebte Beispiele

leitkurve x=y^2-y-42

d i rec t r i x x = y^{2} - y - 42

leitkurve x^2-4x-8y+2=0

d i rec t r i x x^{2} - 4 x - 8 y + 2 = 0

leitkurve (3x-4)(4x-3)-2x

d i rec t r i x (3 x - 4) (4 x - 3) - 2 x

leitkurve (x-3)^2=-12y

d i rec t r i x (x - 3)^{2} = - 12 y

leitkurve x^2=10y

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