What is the directrix 6(x-8)^2+7 ?

The directrix 6(x-8)^2+7 is y= 167/24

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directrix 6(x-8)^2+7

directrix

6 (x - 8)^{2} + 7

y = \frac{167}{24}

Solution steps

Rewrite

y = 6 (x - 8)^{2} + 7

in the standard form:

4 \cdot \frac{1}{24} (y - 7) = (x - 8)^{2}

(h, k) = (8, 7), p = \frac{1}{24}

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

(8, 7)

y-coordinate

y = 7 - p

y = 7 - \frac{1}{24}

Refine

y = \frac{167}{24}

y^{2} + 12 x + 8 y - 44 = 0

290 (8 x + 0.5 x^{2} - 1.4)

x^{2} - x

+ 4 x^{2} - 4 x + 9

x^{2} - 2