en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Geometry >

directrix 3x^2-x

Solution

directrix

Solution

y = - \frac{1}{6}

Solution steps

Rewrite

y = 3 x^{2} - x

in the standard form

4 \cdot \frac{1}{12} (y - (- \frac{1}{12})) = (x - \frac{1}{6})^{2}

(h, k) = (\frac{1}{6}, - \frac{1}{12}), p = \frac{1}{12}

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{1}{6}, - \frac{1}{12})

y-coordinate

y = - \frac{1}{12} - p

y = - \frac{1}{12} - \frac{1}{12}

Refine

y = - \frac{1}{6}

Graph

Popular Examples

directrix x^2+14x+46

directrix-3x^2+17x-20

directrix y=4x^2+5

directrix (x+4)^2-3

directrix x^2+12x+6y+10=0

Frequently Asked Questions (FAQ)

What is the directrix 3x^2-x ?
The directrix 3x^2-x is y=-1/6