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

Like

Report

Numerade Educator

Like

Report

Problem 31 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.
$$y=3 \cos \left(\frac{2 x}{3}+\frac{\pi}{6}\right)$$

Answer

$-\pi / 4$

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

Kristen K.

University of Michigan - Ann Arbor

Video Transcript

so we have this equation. Why is equal to three co sign off to over three x plus pi over six? This can be rewritten as why is equal to three times co sign off to over three x plus one up i over four. The aptitude is equal to three. The P AED is two pi divided by 2/3, which is equal to de pie and then the face shift is equal to negative pipe. Over four. There are two X intercepts at X is equal to high over to and at X is equal to two pi, and you can get the corners off the maximum point from the graph, and you can also get the quarters off the minimum point from the graph.

Other Schools
Top Algebra Educators
Heather Z.

Oregon State University

Alayna H.

McMaster University

Kayleah T.

Harvey Mudd College

Kristen K.

University of Michigan - Ann Arbor