Determine the amplitude period and phase shift of the functi

Determine the amplitude, period, and phase shift of the function. Then graph the function. y = 3 cos (4x + pi) The amplitude is. The period is. (Type an exact answer, using pi as needed. Use integers or fractions for any numbers in the expression.) The phase shift is. (Type an exact answer, using pi as needed. Use integers or fractions for any numbers in the expression.) Use the graphing tool to graph the function. (For any answer boxes shown with the grapher, type an exact answer. Type the word pi to insert the symbol pi as needed.)

Solution

y=3cos(4x + pi)

This is of the form y=A cos (Bx +C)

where amplitude, A=3

Period=2pi/B=2pi/4=pi/2

And phaseshift=-C/B=-pi/4