Question

What is the amplitude, period, and phase shift of f(x) = -3 cos(4x + π) + 6?

Answer 1

hint:
using this identity:
\[\Large \cos \left( {4x + \pi } \right) = \cos \left( {4x} \right)\cos \pi - \sin \left( {4x} \right)\sin \pi = - \cos \left( {4x} \right)\]
we can rewrite your function as follows:
\[\Large f\left( x \right) = 3\cos \left( {4x} \right) + 6\]

Answer 2

now, the graph of the function:
\[\Large f\left( x \right) = 3\cos \left( {4x} \right) + 6\]
is: