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# et the viewing rectangle so that it extends from 0 to $2 \pi$ in the $x$ -direction and from $-4$ to 4 in the $y$ -direction. On the same set of axes, graph the four functions $y=\sin x$ $y=2 \sin x, y=3 \sin x,$ and $y=4 \sin x .$ What is the amplitude in each case? What is the period?

## for $y=\sin x \Rightarrow A=1,$ period $=2 \pi$for $y=2 \sin x \Rightarrow A=2,$ period $=2 \pi$for $y=3 \sin x \Rightarrow A=3,$ period $=2 \pi$for $y=4 \sin x \Rightarrow A=4,$ period $=2 \pi$

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### Video Transcript

So here are grasp drawn as you could see. So first of all we have why is equal to Sinus And the amplitude for cat is a good one. Then we have why is equal to two sine X and the amplitude is equal to two. Then we have why is equal to three sine x and the amplitude is equal to Sicily. And finally we have wise equal to four sine x and the African for that, as he could to three, is equal to four. And lastly, for all of these functions, the period is equal to two pi.

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