Question

Let the function f(x) have the form f(x) = acos(x - c). To produce a graph that matches the one shown below, what must the value of a be?

Options:
A. 1
B. 4
C. 3
D. 2

Answer 1

The amplitude of the cosine function is given by the variable 'a' in the equation f(x) = acos(x - c). The provided information suggests that the amplitude is 4, therefore, the correct answer is B. 4.

Step-by-step explanation:

To determine what the value of a must be for the function f(x) = acos(x - c), we would need to know the specific characteristics of the graph provided in the question.

Since we only have the solution that tells us the value of a when the distance x is zero, we can use the provided information to formulate an answer.

Stating that 0 = 4 at the point where x equals zero indicates that the amplitude of the cosine function is 4. Hence, the maximum and minimum values that the function can attain are 4 and -4, respectively.

Therefore, the correct value for the amplitude a in the function f(x) = acos(x - c) to match the given graph would be B. 4.