What is the directrix (y+1)^2=-4(x-2) ?

The directrix (y+1)^2=-4(x-2) is x=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

directrix (y+1)^2=-4(x-2)

directrix

x = 3

Solution steps

Rewrite

(y + 1)^{2} = - 4 (x - 2)

in the standard form:

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

(h, k) = (2, - 1), 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

(2, - 1)

x-coordinate

x = 2 - p

x = 2 - (- 1)

Refine

x = 3