What is the directrix x^2+36 ?

The directrix x^2+36 is y= 143/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

directrix x^2+36

directrix

x^{2} + 36

y = \frac{143}{4}

Solution steps

Rewrite

y = x^{2} + 36

in the standard form:

4 \cdot \frac{1}{4} (y - 36) = (x - 0)^{2}

(h, k) = (0, 36), 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

(0, 36)

y-coordinate

y = 36 - p

y = 36 - \frac{1}{4}

Refine

y = \frac{143}{4}

y^{2} - 12 x - 2 y - 25 = 0

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

25 x^{2} - 10 x - 200 y - 119 = 0

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

2 x^{2} (2 + 1)