1. find the phase shift of the function y = 5cos(2x + pi/2).

2. which of the following functions has a maximum y value of 4?

y = 4cosx
y = cos4x
y = cosx + 4
y = cos(x + 4)

see explanation

Step-by-step explanation:

1

The cosine function in standard form is

y = acos(bx + c)

where a is the amplitude, period = and

phase shift = -

here b = 2 and c = , thus

phase shift = - = -

2

the amplitude = | a |

which has a maximum of a and a minimum of - a

y = 4cosx ← has a maximum value of 4