2 Answers

Brian Kintz · Answer 1 · 2023-04-02T10:52:37+0000

Solution:

From the given functions,

To find the period of a function, the formula is

$Period=(2\pi)/(B)$

Where;

$\begin{gathered} Period=2 \\ 2=(2\pi)/(B) \\ 2B=2\pi \\ B=\pi \end{gathered}$

Where b is the coefficient of x is b,

And the general sine function is

From the given functions,

The function's graph that have a period of 2 is the function with the value B = π

$y=-4\sin(\pi x)$

Hence, the answer is option D

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