# What is the graph of `y= 2cos (3x+pi/4) - 5` and the amplitude, period, phase and vertical shift

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justaguide | Certified Educator

The function `y= 2*cos(3x+pi/4) - 5`

If the graph of the function is plotted, the following is obtained:

The amplitude of the function is 4. It is shifted below the x-axis by 5. The period of the function is `2*pi/3` and the phase shift is `pi/4` .

justaguide | Certified Educator

P.S. In the response provided earlier, 4 is the *peak to peak* amplitude. the *peak* amplitude is 2.