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

Guest Mar 4, 2015

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 #2
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$$\\y=(5/3)cos(4x-pi)+4\\\\
y=(5/3)cos[4(x-\frac{pi}{4})]+4$$

 

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
avatar+80935 
+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
avatar+91435 
+5
Best Answer

 

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

 

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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