We can use the vertex form

to find the equation of the graph. We know that a is the coefficient, and since the graph opens upwards and is slightly stretched vertically, we know that a is 1/3. On the graph, we see that the vertex of the parabola is at (0,-1). Therefore, h is 0 and k is -1.
Our vertex form equation is

Which is D
Answer:
The center of circle is
Step-by-step explanation:
We need to find the center of the circle of the equation 
Since, the general equation of circle is 
Where (h,k) is center of circle and r is radius.
Re-write the circle equation is
as,

Compare
with 
so, 
Hence, the center of circle is 
Answer:
Avicenna can expect to lose money from offering these policies. In the long run, they should expect to lose ___33__ dollars on each policy sold
Step-by-step explanation:
Given :
The amount the company Avicenna must pay to the shareholder if the person die before 70 years = $ 26,500
The value of each policy = $497
It is given that there is a 2% chance that people will die before 70 years and 98% chance that people will live till the age 70.
The expected policy to be sold= policy nominal + chances of death
= 497 + [98% (no pay) + 2% (pay)]
= 497 + [98%(0) + 2%(-26500)]
(The negative sign shows that money goes out of the company)
= 497 - 2% (26500)
= 497 - 530
=33
Therefore the company loses 33 dollar on each policy sold in the long run.
Answer: -3
Step-by-step explanation:
If you find where the line crosses the y-axis, and count to the next official and visible vertex, you will get 3 up or down, over 1 left or right. It's called rise over run. And as the line is drawn from the left to right side, it's a negative line.