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Beliebt Geometry >

leitkurve 5x^2-3x+3

Lösung

leitkurve

5 x^{2} - 3 x + 3

Lösung

y = \frac{5}{2}

Schritte zur Lösung

Rewrite

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

in the standard form

4 \cdot \frac{1}{20} (y - \frac{51}{20}) = (x - \frac{3}{10})^{2}

(h, k) = (\frac{3}{10}, \frac{51}{20}), p = \frac{1}{20}

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{3}{10}, \frac{51}{20})

y-coordinate

y = \frac{51}{20} - p

y = \frac{51}{20} - \frac{1}{20}

Fasse zusammen

y = \frac{5}{2}

Graph

Beliebte Beispiele

leitkurve (x+4)^2=-12(y-2)

d i rec t r i x (x + 4)^{2} = - 12 (y - 2)

leitkurve (x-80)^2=-320(y-20)

d i rec t r i x (x - 80)^{2} = - 320 (y - 20)

leitkurve y=x^2+7x+5

d i rec t r i x y = x^{2} + 7 x + 5

leitkurve y=-10x^2

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

leitkurve y=-2x^2-3

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