What is the directrix x= 1/4 y^2 ?

The directrix x= 1/4 y^2 is x=-1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

directrix x= 1/4 y^2

directrix

x = - 1

Solution steps

Rewrite

x = \frac{1}{4} y^{2}

in the standard form:

4 \cdot 1 \cdot (x - 0) = (y - 0)^{2}

(h, k) = (0, 0), p = 1

Parabola is symmetric around the x-axis and so the directrix is a line parallel to the y-axis, a distance

- p

from the center

(0, 0)

x-coordinate

x = 0 - p

x = 0 - 1

Refine

x = - 1