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Beliebt Geometry >

leitkurve y=6x^2-3x5

Lösung

leitkurve

y = 6 x^{2} - 3 x 5

Lösung

y = - \frac{113}{12}

Schritte zur Lösung

Rewrite

y = 6 x^{2} - 3 x \cdot 5

in the standard form

4 \cdot \frac{1}{24} (y - (- \frac{75}{8})) = (x - \frac{5}{4})^{2}

(h, k) = (\frac{5}{4}, - \frac{75}{8}), p = \frac{1}{24}

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}{4}, - \frac{75}{8})

y-coordinate

y = - \frac{75}{8} - p

y = - \frac{75}{8} - \frac{1}{24}

Fasse zusammen

y = - \frac{113}{12}

Graph

Beliebte Beispiele

leitkurve 1/3 (x+2)^2-3

d i rec t r i x \frac{1}{3} (x + 2)^{2} - 3

leitkurve y^2-8x=0

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

leitkurve x^2+8x+18

d i rec t r i x x^{2} + 8 x + 18

leitkurve (y-2)^2=12(x+1)

d i rec t r i x (y - 2)^{2} = 12 (x + 1)

leitkurve y=x^2-5x-24

d i rec t r i x y = x^{2} - 5 x - 24