What is the directrix 3y^2+4x-24y+44=0 ?

The directrix 3y^2+4x-24y+44=0 is x= 4/3

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directrix 3y^2+4x-24y+44=0

directrix

3 y^{2} + 4 x - 24 y + 44 = 0

x = \frac{4}{3}

Solution steps

Rewrite

3 y^{2} + 4 x - 24 y + 44 = 0

in the standard form

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

(h, k) = (1, 4), p = - \frac{1}{3}

Parabola is symmetric around the x-axis and so the directrix is a line parallel to the y-axis, a distance

- p

from the center

(1, 4)

x-coordinate

x = 1 - p

x = 1 - (- \frac{1}{3})

Refine

x = \frac{4}{3}

What is the directrix 3y^2+4x-24y+44=0 ?
The directrix 3y^2+4x-24y+44=0 is x= 4/3