What is the directrix 12(x-2)=(y+2)^2 ?

The directrix 12(x-2)=(y+2)^2 is x=-1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

directrix 12(x-2)=(y+2)^2

directrix

12 (x - 2) = (y + 2)^{2}

x = - 1

Solution steps

Rewrite

12 (x - 2) = (y + 2)^{2}

in the standard form:

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

(h, k) = (2, - 2), p = 3

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

(2, - 2)

x-coordinate

x = 2 - p

x = 2 - 3

Refine

x = - 1

y = - 5 x^{2}

x^{2} + 8 x - 8 y + 8 = 0

y = - 3 x^{2} + 17 x - 20

92 x^{2}

y = x^{2} + 6 x + 9