What is the directrix (x-9)^2-6 ?

The directrix (x-9)^2-6 is y=-25/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

directrix (x-9)^2-6

directrix

(x - 9)^{2} - 6

y = - \frac{25}{4}

Solution steps

Rewrite

y = (x - 9)^{2} - 6

in the standard form:

4 \cdot \frac{1}{4} (y - (- 6)) = (x - 9)^{2}

(h, k) = (9, - 6), 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

(9, - 6)

y-coordinate

y = - 6 - p

y = - 6 - \frac{1}{4}

Refine

y = - \frac{25}{4}

x^{2} - 16 y = 0

0.8 x^{2} + 500 x - 25000

9 x^{2}

(- x - 1) (x + 3)

+ 12 x^{2} - 14 x