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

The directrix y=(x-12)^2 is y=-1/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

directrix y=(x-12)^2

directrix

y = (x - 12)^{2}

y = - \frac{1}{4}

Solution steps

Rewrite

y = (x - 12)^{2}

in the standard form:

4 \cdot \frac{1}{4} (y - 0) = (x - 12)^{2}

(h, k) = (12, 0), p = \frac{1}{4}

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

(12, 0)

y-coordinate

y = 0 - p

y = 0 - \frac{1}{4}

Refine

y = - \frac{1}{4}

x \leq y^{2}

y^{2} = x - 3

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

+ y^{2} - y - x + 1 = 0

y = - x^{2} - 6 x - 7