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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

directrix

y = 3

Solution steps

Rewrite

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

in the standard form:

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

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

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

(2, 2)

y-coordinate

y = 2 - p

y = 2 - (- 1)

Refine

y = 3