Light waves or energy waves
Answer: {y∈R: y≤6} or [6,∞)
Explanation:
This problem doesn't require too much math. If you look at the equation given, you can see that it is a quadratic equation in the form of
. Since this is a quadratic equation, we have an idea of that the graph would look like. It either curves up or down. Since this is a positive equation,
, we know that this is going to curve up. In order to find the minimum of the curve, you would use
.
![\frac{-12}{2(3)}=-2](https://tex.z-dn.net/?f=%5Cfrac%7B-12%7D%7B2%283%29%7D%3D-2)
This means the x value of the parabola is -2. To find the y, you plug -2 into the original equation.
![f(2)=3(-2)^2+12(-2)+18](https://tex.z-dn.net/?f=f%282%29%3D3%28-2%29%5E2%2B12%28-2%29%2B18)
![f(2)=6](https://tex.z-dn.net/?f=f%282%29%3D6)
Now that we know the y value of the minimum/vertex is 6, and it is determined that the parabola curves up, the range is y≤6 because the range starts at 6 and goes off toward infinity.
Huh yes that would work out well I think it’s a great deal to get it done by the end of the
Answer:
b, the middle of the barrel vault