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}

y = (x - 4) (x - 2)

(x - 4)^{2} - 2 (y + 8) = 0

+ \frac{2 h ^{3} + 4 h ^{2} + 5 h}{h}

x^{2} + 6 x - 8

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

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