What is the directrix x^2=2y ?

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

directrix x^2=2y

directrix

x^{2} = 2 y

y = - \frac{1}{2}

Solution steps

Rewrite

x^{2} = 2 y

in the standard form:

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

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

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

(0, 0)

y-coordinate

y = 0 - p

y = 0 - \frac{1}{2}

Refine

y = - \frac{1}{2}

x^{2} = 28 y

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

y = x^{2} + 4 x + 4

y = - x^{2} + 5

y = - x^{2} + 10 x