What is the directrix (x-2)^2=-12(y-4) ?

The directrix (x-2)^2=-12(y-4) is y=7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

directrix (x-2)^2=-12(y-4)

directrix

(x - 2)^{2} = - 12 (y - 4)

y = 7

Solution steps

Rewrite

(x - 2)^{2} = - 12 (y - 4)

in the standard form:

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

(h, k) = (2, 4), p = - 3

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, 4)

y-coordinate

y = 4 - p

y = 4 - (- 3)

Refine

y = 7

\frac{5 t ^{2}}{2}

y = x^{2} - 2 x^{1}

x^{2} - 2 x

20 y = (x - 12)^{2} - 20

- 3 x^{2}