What is the directrix y=x^2+22 ?

The directrix y=x^2+22 is y= 87/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

directrix y=x^2+22

directrix

y = x^{2} + 22

y = \frac{87}{4}

Solution steps

Rewrite

y = x^{2} + 22

in the standard form:

4 \cdot \frac{1}{4} (y - 22) = (x - 0)^{2}

(h, k) = (0, 22), 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, 22)

y-coordinate

y = 22 - p

y = 22 - \frac{1}{4}

Refine

y = \frac{87}{4}

- 29 x^{2} + 1388 x - 10040

x = - 2 y^{2}

y^{2} - 6 y + 3

3 y^{2} + 4 x - 24 y + 44 = 0

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