<h2>
Answer:</h2>
![\boxed{y=-3}](https://tex.z-dn.net/?f=%5Cboxed%7By%3D-3%7D)
<h2>
Step-by-step explanation:</h2>
The graph of this parabola is shown below. From this graph we know that:
VERTEX:
![(h,k)=(0,0)](https://tex.z-dn.net/?f=%28h%2Ck%29%3D%280%2C0%29)
DIRECTIX:
Since the vertex lies on the origin and the parabola opens upward, then the standard form of this parabola is:
![x^2=4py](https://tex.z-dn.net/?f=x%5E2%3D4py)
So:
![y=\frac{1}{12}x^2 \\ \\ \therefore 12y=x^2 \ or \ x^2=12y \\ \\ \\ Then: \\ \\ 4p=12 \therefore p=3](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B12%7Dx%5E2%20%5C%5C%20%5C%5C%20%5Ctherefore%2012y%3Dx%5E2%20%5C%20or%20%5C%20x%5E2%3D12y%20%5C%5C%20%5C%5C%20%5C%5C%20Then%3A%20%5C%5C%20%5C%5C%204p%3D12%20%5Ctherefore%20p%3D3)
Then the directrix is:
![y=k-p \\ \\ \therefore y=0-3 \therefore \boxed{y=-3}](https://tex.z-dn.net/?f=y%3Dk-p%20%5C%5C%20%5C%5C%20%5Ctherefore%20y%3D0-3%20%5Ctherefore%20%5Cboxed%7By%3D-3%7D)
Answer:
8 -2 π square units
Step-by-step explanation:
Hi, I hope this helps; I apologize for answering late. I just now completed this lesson, myself! I assure you its right.
The nearest thousand would be 2000