What is the directrix y=s^2+2s+2 ?

The directrix y=s^2+2s+2 is y= 3/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

directrix y=s^2+2s+2

directrix

y = s^{2} + 2 s + 2

y = \frac{3}{4}

Solution steps

Rewrite

y = s^{2} + 2 s + 2

in the standard form

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

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

Parabola is symmetric around the x-axis and so the directrix is a line parallel to the y-axis, a distance

- p

from the center

(1, - 1)

x-coordinate

y = 1 - p

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

Refine

y = \frac{3}{4}

(x - 11)^{2}

4 P^{2}

x^{2} + 3 x - 16

2 x - x^{2}

y = (x - 12)^{2} - 156