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Beliebt Geometry >

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

Lösung

leitkurve

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

Lösung

y = \frac{23}{12}

Schritte zur Lösung

Rewrite

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

in the standard form:

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

(h, k) = (5, 2), 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

(5, 2)

y-coordinate

y = 2 - p

y = 2 - \frac{1}{12}

Fasse zusammen

y = \frac{23}{12}

Graph

Beliebte Beispiele

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

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d i rec t r i x y = - x^{2} - 6 x - 7

leitkurve 2x^2-13x-7

d i rec t r i x 2 x^{2} - 13 x - 7