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Determine the amplitude, period, and phase shift for the given function. Graph the function over one period. Indicate the $x$ -intercepts and the coordinates of the highest and Iowest points on the graph.$$y=-2 \sin (\pi x+\pi)$$

=-1\$

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Catherine R.

Missouri State University

Kayleah T.

Harvey Mudd College

Michael J.

Idaho State University

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Video Transcript

So we have a why is equal to negative to sign times pi less pipe. You can rewrite this as why is equal to negative to sign factor the pie out so five times X plus one. So first thing is the amplitude is too. Next thing is the period which is to find divided by pi and that's equal to two. And then we have ah faced shift equal to negative one. And then there are three X intercepts which are at X is equal to zero. Excessive to one and excessive too to you can read the quarter kicks off the maximum fine from the graft. The corners of Maxim fight like to and in accordance of the minimum point or 1.5 negative.

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