What is the amplitude, period, and phase shift of f(x) = −3 cos(4x + π) + 6?
f(x) = −3 cos(4x + π) + 6
Rewrite as
f(x) = -3 cos4(x + pi/4) + 6
The amplitude is l -3 l = 3
The period - call it, m - is found by solving this:
4m = 2pi divide both sides by 4 m = pi/2
The phase shift is pi/4 units to the left
Here's the graph : https://www.desmos.com/calculator/1slz9abnpw