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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.$$y=\cos \left(x-\frac{\pi}{2}\right)$$

## $\pi / 2$

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##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University

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### Video Transcript

so we have. Why is equal to co sign off X minus pi over two. So the damn pick you'd is one of the period is to pipe. And there's a phase shift, which is equipped with higher or two, and then the X intercepts. There are three X intercepts, which are X is equal to zero. X is equal to high and X is equal to two time, and then you can see that the quarters off the maximum point are fire were to one and the quarters off the minimum point are three pie or to minus one.

Other Schools
##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University