What is the directrix 6x^2-12x ?

The directrix 6x^2-12x is y=-145/24

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

directrix 6x^2-12x

directrix

6 x^{2} - 12 x

y = - \frac{145}{24}

Solution steps

Rewrite

y = 6 x^{2} - 12 x

in the standard form

4 \cdot \frac{1}{24} (y - (- 6)) = (x - 1)^{2}

(h, k) = (1, - 6), 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

(1, - 6)

y-coordinate

y = - 6 - p

y = - 6 - \frac{1}{24}

Refine

y = - \frac{145}{24}

y = (x + 1)^{2} + 1

y = (x + 1)^{2} + 5

t^{2} + 2

- \frac{1}{2} (x - 4)^{2} + 3

- 4 x^{2} + 8 x + 1