Our Discord hit 10K members! 🎉 Meet students and ask top educators your questions.Join Here!

Like

Report

Numerade Educator

Like

Report

Problem 29 Easy Difficulty

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.
$$y=\cos \left(2 x-\frac{\pi}{3}\right)+1$$

Answer

$\pi / 2$

Discussion

You must be signed in to discuss.
Top Algebra Educators
Heather Z.

Oregon State University

Alayna H.

McMaster University

Kayleah T.

Harvey Mudd College

Michael J.

Idaho State University

Video Transcript

we have equation. Why is he could to co sign off two x minus pi over three. That's one which can be re written as Why is he going to co sign off two times X minus I over six. Plus what so the aptitude is to the period is two pi divided by two, which is equal to pi. And then there's a phase shift off pi over six. And in addition, there's also a vertical shift which is equal to one. There is only one x x intercept and that X intercept case where X is equal to two pi or three. And then from the graph, you can see the coordinates off the maximum point, and you can also see the coordinates off the minimum point.

Other Schools
Top Algebra Educators
Heather Z.

Oregon State University

Alayna H.

McMaster University

Kayleah T.

Harvey Mudd College

Michael J.

Idaho State University