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:
100 students chose all three
Step-by-step explanation:
first make a row for each subject and put how many students chose said subject. then subtract the number of students that chose both from the total amount of a subject
hope this helped
Answer:
f(-2) = 0
f(0) = -4
f(4) = 12
Step-by-step explanation:
Given the function f(x) = x^2 - 4, we must plug in the values substituting x for each of the answers.
f(-2) = (-2)^2 - 4
-2 times itself is a positive 4, therefore:
f(-2) = 4 - 4
f(-2) = 0
We do the same for each answer.
f(0) = (0)^2 - 4
f(0) = -4
f(4) = (4)^2 - 4
f(4) = 16 - 4
f(4) = 12