de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

leitkurve 4x^2-12x-2

Lösung

leitkurve

4 x^{2} - 12 x - 2

Lösung

y = - \frac{177}{16}

Schritte zur Lösung

Rewrite

y = 4 x^{2} - 12 x - 2

in the standard form

4 \cdot \frac{1}{16} (y - (- 11)) = (x - \frac{3}{2})^{2}

(h, k) = (\frac{3}{2}, - 11), p = \frac{1}{16}

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}, - 11)

y-coordinate

y = - 11 - p

y = - 11 - \frac{1}{16}

Fasse zusammen

y = - \frac{177}{16}

Graph

Beliebte Beispiele

leitkurve 3x^2+4x-3

d i rec t r i x 3 x^{2} + 4 x - 3

leitkurve y=600-10x+0.25x^2

d i rec t r i x y = 600 - 10 x + 0.25 x^{2}

leitkurve 11x^2+13

d i rec t r i x 11 x^{2} + 13

leitkurve-2(x+3)=(y-1)^2

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

leitkurve 2y^2=-5x

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