What is the directrix+x^2+4x+6 ?

The directrix+x^2+4x+6 is y= 7/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

directrix+x^2+4x+6

directrix

y = \frac{7}{4}

Solution steps

Rewrite

y = x^{2} + 4 x + 6

in the standard form

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

(h, k) = (- 2, 2), 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

(- 2, 2)

y-coordinate

y = 2 - p

y = 2 - \frac{1}{4}

Refine

y = \frac{7}{4}