What is the directrix y=+x^2-4x-32 ?

The directrix y=+x^2-4x-32 is y=-145/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

directrix y=+x^2-4x-32

directrix

y = + x^{2} - 4 x - 32

y = - \frac{145}{4}

Solution steps

Rewrite

y = x^{2} - 4 x - 32

in the standard form

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

(h, k) = (2, - 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

(2, - 36)

y-coordinate

y = - 36 - p

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

Refine

y = - \frac{145}{4}

x^{2} + 2 x + 2

y = x^{2} - 2 x - 15

x^{2} - 10000 x - 24000000

y = - 3 x^{2} - 12 x - 17

3 x - 3 x^{2}