What is the directrix-3x^2+6x-1 ?

The directrix-3x^2+6x-1 is y= 25/12

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

directrix-3x^2+6x-1

directrix

- 3 x^{2} + 6 x - 1

y = \frac{25}{12}

Solution steps

Rewrite

y = - 3 x^{2} + 6 x - 1

in the standard form

4 (- \frac{1}{12}) (y - 2) = (x - 1)^{2}

(h, k) = (1, 2), p = - \frac{1}{12}

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

(1, 2)

y-coordinate

y = 2 - p

y = 2 - (- \frac{1}{12})

Refine

y = \frac{25}{12}

(x + 6)^{2} = - 20 (y - 5)

\frac{x ^{3}}{x}

x^{2} + 24 y = 0

- 0.0000848 x^{2} - 0.006005 x + 1.004

y = x^{2} - 3 x - 4