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Beliebt Geometry >

leitkurve x^2-3x-4

Lösung

leitkurve

x^{2} - 3 x - 4

Lösung

y = - \frac{13}{2}

Schritte zur Lösung

Rewrite

y = x^{2} - 3 x - 4

in the standard form

4 \cdot \frac{1}{4} (y - (- \frac{25}{4})) = (x - \frac{3}{2})^{2}

(h, k) = (\frac{3}{2}, - \frac{25}{4}), p = \frac{1}{4}

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}{2}, - \frac{25}{4})

y-coordinate

y = - \frac{25}{4} - p

y = - \frac{25}{4} - \frac{1}{4}

Fasse zusammen

y = - \frac{13}{2}

Graph

Beliebte Beispiele

leitkurve (x-4)^2=8(y+2)

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

leitkurve-1/8 (y-8)^2+2

d i rec t r i x - \frac{1}{8} (y - 8)^{2} + 2

leitkurve 2x^2-10

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

leitkurve y^2=4(-4)x

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

leitkurve (y+1)^2=-4(x-2)

d i rec t r i x (y + 1)^{2} = - 4 (x - 2)