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# What is the phase shift of y=(5/3)cos(4x-pi)+4

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What is the phase shift of y=(5/3)cos(4x-pi)+4

Guest Mar 4, 2015

#2
+91471
+5

$$\\y=(5/3)cos(4x-pi)+4\\\\ y=(5/3)cos[4(x-\frac{pi}{4})]+4$$

Phase shift is pi/4 to the right

This old post goes into more detail

http://web2.0calc.com/questions/graphing-trig-functions_1#rr2

Melody  Mar 4, 2015
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#1
+81051
+5

We can write

y=(5/3)cos[4(x-pi/4)]+4

This is the cosine graph with an amplitude of (5/3) shifted up 4 units

There are 4 periods in 2pi

The phase shift is pi/4 units to the right........

CPhill  Mar 4, 2015
#2
+91471
+5

$$\\y=(5/3)cos(4x-pi)+4\\\\ y=(5/3)cos[4(x-\frac{pi}{4})]+4$$

Phase shift is pi/4 to the right

This old post goes into more detail

http://web2.0calc.com/questions/graphing-trig-functions_1#rr2

Melody  Mar 4, 2015

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