let the function f(x) have the form f(x)=acos(x + c). to produce a graph that matches the one shown below…

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? a. 3 b. 4 c. 2 d. 1

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? a. 3 b. 4 c. 2 d. 1

Answer

Answer:

A. 3

Explanation:

Step1: Recall amplitude formula

For $y = A\cos(x + C)$, $|A|$ is amplitude.

Step2: Determine amplitude from graph

The graph has a maximum of 3 and minimum of - 3. Amplitude $=\frac{\text{max}-\text{min}}{2}=\frac{3 - (-3)}{2}=3$. So $A = 3$ (since the graph is not inverted).