What is the directrix y=-2x^2+6 ?

The directrix y=-2x^2+6 is y= 49/8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

directrix y=-2x^2+6

directrix

y = - 2 x^{2} + 6

y = \frac{49}{8}

Solution steps

Rewrite

y = - 2 x^{2} + 6

in the standard form:

4 (- \frac{1}{8}) (y - 6) = (x - 0)^{2}

(h, k) = (0, 6), p = - \frac{1}{8}

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

(0, 6)

y-coordinate

y = 6 - p

y = 6 - (- \frac{1}{8})

Refine

y = \frac{49}{8}

y = - 2 x^{2} + 7

y = (7 x - 3)^{2}

+ 6 x^{2} - 54 x + 120

y = 9 x^{2} + 6 x + 1

x^{2} + 4 x + 7