What is the directrix-0.2t^2+2.4t+98.6 ?

The directrix-0.2t^2+2.4t+98.6 is y=107.05

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directrix-0.2t^2+2.4t+98.6

directrix

- 0.2 t^{2} + 2.4 t + 98.6

y = 107.05

Solution steps

Rewrite

y = - 0.2 t^{2} + 2.4 t + 98.6

in the standard form

4 (- 1.25) (y - 105.8) = (t - 6)^{2}

(h, k) = (6, 105.8), p = - 1.25

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

(6, 105.8)

y-coordinate

y = 105.8 - p

y = 105.8 - (- 1.25)

Refine

y = 107.05

x^{2} + 2 x - 8 y + 33 = 0

6 x^{2} - 6 x

(x - \frac{5}{2})^{2} = 7 (y + 3.75)

y = - x^{2} + 8 x - 18

11 x^{2} - 8

What is the directrix-0.2t^2+2.4t+98.6 ?
The directrix-0.2t^2+2.4t+98.6 is y=107.05