What is the directrix y=3x^2-18x+23 ?

The directrix y=3x^2-18x+23 is y=-49/12

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

directrix y=3x^2-18x+23

directrix

y = - \frac{49}{12}

Solution steps

Rewrite

y = 3 x^{2} - 18 x + 23

in the standard form

4 \cdot \frac{1}{12} (y - (- 4)) = (x - 3)^{2}

(h, k) = (3, - 4), 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

(3, - 4)

y-coordinate

y = - 4 - p

y = - 4 - \frac{1}{12}

Refine

y = - \frac{49}{12}