What is the directrix y^2=6x ?

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

directrix y^2=6x

directrix

y^{2} = 6 x

x = - \frac{3}{2}

Solution steps

Rewrite

y^{2} = 6 x

in the standard form:

4 \cdot \frac{3}{2} (x - 0) = (y - 0)^{2}

(h, k) = (0, 0), p = \frac{3}{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{3}{2}

Refine

x = - \frac{3}{2}

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

(y - 2)^{2} = 8 (x - 1)

y = 4 x + 4 x - 2 + x^{2} - 3

y = - 5 x^{2} + 118 x + 7

- x^{2}