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Problem 24 Medium 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.
$$y=3 \sin \left(\frac{1}{2} x+\frac{\pi}{6}\right)$$

Answer

$-\pi / 3$

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Top Algebra Educators
GH
Grace H.

Numerade Educator

Anna Marie V.

Campbell University

Heather Z.

Oregon State University

Michael J.

Idaho State University

Video Transcript

we have the equation. Why sequel to three side 1/2 X plus play over six and this can be rewritten as why is equal to three sign. That's Africa 1/2 out so ex us high for three. So the aptitude is people to three. The pdf is too divided by 1/2 which is equal to four pipe. The face shift is equal to negative pi over three. And then there are two X intercepts, which are at X equal to five pi over three and it excessive call to 11 high diversity. The quarters Often maximum points are 2.32 hours. Anyone and the quarter. It's off the minimum point. Our eight by eight Fire three negative one.

Other Schools
Top Algebra Educators
GH
Grace H.

Numerade Educator

Anna Marie V.

Campbell University

Heather Z.

Oregon State University

Michael J.

Idaho State University