Graph the function $y = 3 \cos (\frac{1}{4} x)$ . Give the period and the amplitude.
Choose the correct graph of the function.
A.
B.
C.
D.
The amplitude is (Simplify your answer: Type an exact answer, using $π$ as needed.)
The period is
(Simplify your answer. Type an exact answer, using $π$ as needed.)

Answer

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Finally, we can graph the function. The graph will have a maximum value of $3$ and a minimum value of $- 3$ , and it will repeat every $8 π$ units.

Steps

Step 1 ：First, we need to identify the amplitude and the period of the function $y = 3 \cos (\frac{1}{4} x)$ .

Step 2 ：The amplitude of the function is the absolute value of the coefficient of the cosine function. In this case, the amplitude is $3$ .

Step 3 ：The period of the function is determined by the coefficient of $x$ inside the cosine function. The graph of $y = \cos (\frac{1}{4} x)$ passes through one full period as $\frac{1}{4} x$ ranges from $0$ to $2 π$ , which means $x$ ranges from $0$ to $8 π$ .

Step 4 ：Finally, we can graph the function. The graph will have a maximum value of $3$ and a minimum value of $- 3$ , and it will repeat every $8 π$ units.

Graph the function y=3cos⁡(14x). Give the period and the amplitude.Choose the correct graph of the function.A.B.C.D.The amplitude is (Simplify your answer: Type an exact answer, using π as needed.)The period is(Simplify your answer. Type an exact answer, using π as needed.)

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