What is the directrix y^2=2x ?

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

directrix y^2=2x

directrix

y^{2} = 2 x

x = - \frac{1}{2}

Solution steps

Rewrite

y^{2} = 2 x

in the standard form:

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

(h, k) = (0, 0), p = \frac{1}{2}

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 - \frac{1}{2}

Refine

x = - \frac{1}{2}

y = 6 x^{2} - 15 x

y = x^{2} - x - 20

x^{2} = 2 y

x^{2} = 28 y

y = (3 x - 4) (4 x - 3) - 2 x