What is the directrix 88x-16x^2-112 ?

The directrix 88x-16x^2-112 is y= 577/64

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directrix 88x-16x^2-112

directrix

88 x - 16 x^{2} - 112

y = \frac{577}{64}

Solution steps

Rewrite

y = 88 x - 16 x^{2} - 112

in the standard form

4 (- \frac{1}{64}) (y - 9) = (x - \frac{11}{4})^{2}

(h, k) = (\frac{11}{4}, 9), p = - \frac{1}{64}

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

(\frac{11}{4}, 9)

y-coordinate

y = 9 - p

y = 9 - (- \frac{1}{64})

Refine

y = \frac{577}{64}

- 16 t^{2} + 60 t + 3

\frac{x ^{2} - 4 x - 4}{2}

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

y = 6 x^{2}

y = (x + 4)^{2} + 1