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# State the amplitude, period, phase shift, and vertical translation for the function y+1= 3cos4(x-pi/4) from y=?

State the amplitude, period, phase shift, and vertical translation for the function y+1= 3cos4(x-pi/4) from y=cosx. Please show your work

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- Anonymous9 years agoFavorite Answer
Assume that the expression is:

y + 1 = 3cos(4(x - π/4))

Subtract both sides by 1 to get:

y = 3cos(4(x - π/4)) - 1

Hence, the amplitude is 3, the period is 2π/4 = π/2, the phase shift is |(π/4)/4| = π/16, and the vertical translation is 1 unit below

I hope this helps!

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