Question

Find the amplitude of the function y = 3∕2 cos(3x) + 1.
A) 1∕3
B) 1
C) 3
D) 3∕2

Answer 1

The function:

$y=\frac{3}{2}\cos (3x)+1$

has the form:

$y=a\cdot\cos \lbrack b(x-c)\rbrack+d$

with a = 3/2, b = 3, c = 0. and d = 1.

The amplitude is represented by a, then the amplitude in this case is 3/2.