Answer:
; minimum
Step-by-step explanation:
Given:
The function is, ![y=x^{2}+2](https://tex.z-dn.net/?f=y%3Dx%5E%7B2%7D%2B2)
The given function represent a parabola and can be expressed in vertex form as:
![y=(x-0)^{2}+2](https://tex.z-dn.net/?f=y%3D%28x-0%29%5E%7B2%7D%2B2)
The vertex form of a parabola is
, where,
is the vertex.
So, the vertex is
.
In order to graph the given parabola, we find some points on it.
Let ![x=-2,y=(-2)^{2}+2=4+2=6](https://tex.z-dn.net/?f=x%3D-2%2Cy%3D%28-2%29%5E%7B2%7D%2B2%3D4%2B2%3D6)
![x=-1,y=(-1)^{2}+2=1+2=3](https://tex.z-dn.net/?f=x%3D-1%2Cy%3D%28-1%29%5E%7B2%7D%2B2%3D1%2B2%3D3)
![x=0,y=(0)^{2}+2=0+2=2](https://tex.z-dn.net/?f=x%3D0%2Cy%3D%280%29%5E%7B2%7D%2B2%3D0%2B2%3D2)
![x=2,y=(2)^{2}+2=4+2=6](https://tex.z-dn.net/?f=x%3D2%2Cy%3D%282%29%5E%7B2%7D%2B2%3D4%2B2%3D6)
![x=1,y=(1)^{2}+2=1+2=3](https://tex.z-dn.net/?f=x%3D1%2Cy%3D%281%29%5E%7B2%7D%2B2%3D1%2B2%3D3)
So, the points are
.
Mark these points on the graph and join them using a smooth curve.
The graph is shown below.
From the graph, we conclude that at the vertex
, it is minimum.
The formula for area of a cone is A=πr(r+√h²+r²). The radius is half the diameter, so 22.5.
Plug our numbers into the formula.
A=π22.5(22.5+√96²+22.5²)
the answer is 8560.16
Did it say what the dilation factor was ?
Third option. They cancel eachother out therefore it'd be 0
Answer:
4s + 12
Step-by-step explanation:
s + s + s + s + 12
= 4s + 12