Answer:
![y=(x+3)^2-1\\y=x^2+6x+8](https://tex.z-dn.net/?f=y%3D%28x%2B3%29%5E2-1%5C%5Cy%3Dx%5E2%2B6x%2B8)
Step-by-step explanation:
Given:
Vertex of the parabola is, ![(h,k)=(-3,-1)](https://tex.z-dn.net/?f=%28h%2Ck%29%3D%28-3%2C-1%29)
Equation of the parabola in vertex form is given as:
![y=(x-h)^2+k](https://tex.z-dn.net/?f=y%3D%28x-h%29%5E2%2Bk)
Plug in
. This gives,
![y=(x-(-3))^2+(-1)\\y=(x+3)^2-1](https://tex.z-dn.net/?f=y%3D%28x-%28-3%29%29%5E2%2B%28-1%29%5C%5Cy%3D%28x%2B3%29%5E2-1)
Therefore, the equation of the given graph is
.
The point where the two axes intersect (0,0) it's the point of origin.
Answer:
x + y ≤
3x + 5y ≥ 1100
Step-by-step explanation:
Given:
Seating capacity of theater = 250
Cost of each child ticket = $3
Cost of each adult ticket = $5
Cost per performance = $1100 at least
Find:
System of inequalities
Computation:
Let;
x = Number of children's tickets
y = Number of adult tickets
So
x + y ≤
3x + 5y ≥ 1100
Answer:
x < −
5
The notation would be (
−
∞
, −
5
)
On the graph, you would put an open dot on -5 and an arrow continuing down it