The directrix of the parabola is ![y = \frac {-49}{16}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%20%7B-49%7D%7B16%7D)
<h3>How to determine the equation of the directrix?</h3>
The parabola equation is given as:
![\frac 14(y + 3) = (x -2)^2](https://tex.z-dn.net/?f=%5Cfrac%2014%28y%20%2B%203%29%20%3D%20%28x%20-2%29%5E2)
A parabola is represented as:
![4p(y - k) =(x -h)^2](https://tex.z-dn.net/?f=4p%28y%20-%20k%29%20%3D%28x%20-h%29%5E2)
By comparing both equations, we have:
4p = 1/4 ==> p = 1/16
-k= 3 ==> k = -3
The directrix is represented as:
y = k - p
So, we have:
![y = -3 - \frac 1{16}](https://tex.z-dn.net/?f=y%20%3D%20-3%20-%20%5Cfrac%201%7B16%7D)
Take the LCM
![y = \frac {-16 * 3- 1}{16}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%20%7B-16%20%2A%203-%201%7D%7B16%7D)
Evaluate
![y = \frac {-49}{16}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%20%7B-49%7D%7B16%7D)
Hence, the directrix of the parabola is ![y = \frac {-49}{16}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%20%7B-49%7D%7B16%7D)
Read more about parabola at:
brainly.com/question/1480401
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Answer:
-1, -4, 2, 4
Step-by-step explanation:
The are ascending
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Answer:
Is that simultaneous equation
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