Answer:

Step-by-step explanation:
The equation of a quadratic function in vertex form is given by:

Where (h,k) is the vertex.
It was given in the question that the vertex of the parabola is (-1,4).
When we substitute the vertex into the formula we get:

The parabola also passes through (4,19) hence it must satisfy its equation.



We divide both sides by 25 to get:

Hence the quadratic function is:

Answer:

If you need a simplified fraction then 
F(−2)=14. Explanation: substitute x=− 2 into f(x). f(−2)=(3×(−2)2)−(−2). ××=(3×4)+2=12+2=14 .
Answer:
(B) A selected group of participants that is representative of a larger population
Step-by-step explanation:
A sample statistic is a piece of information that you get from a fraction of the population. This information is representative of a larger population.
For example, someone wants to conduct a survey about the most popular NFL team in Syracuse, NY, if it is the Buffalo Bills or the New York Giants. This person is not going to ask each person for whom they cheer. They are going to collect data from a fraction of the population and this data will be expanded to include the entire population.
So, the correct answer is:
(B) A selected group of participants that is representative of a larger population
Multiply each term by 8 ( to get rid of the fractions)
we get:-
-72 = -16 - k
k = -16 + 72 = 56 answer