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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.$$y=4 \cos \left(3 x-\frac{\pi}{4}\right)$$

## $\pi / 12$

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### Video Transcript

the equation we have is why is equal to four co sign off three x minus pi over four. This can be rewritten as why is equipped with four co signed factor that three soldiers would be three times X minus. I work 12. So now we can look at the equation and say that aptitude is for the P. AED is too high, divided by three and then the thieves shift is equal to pi or 12. And then there are two X intercepts. Two X intercepts are X is equal to high over four and X is equal to seven pi over 12 and then the quarter sucking maximum point are pilot twelves four and recorded since the minimum point of five pi 12 negative for.

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