Question

Find the amplitude of the function.
y-=.05 cos 6x

Answer 1

option D

0.5

Explanation:

Formula to find the amplitude of function graph is

amplitude = maximum - minimum / 2

here maximum = 0.5

minimum = -.05

Plug values in the formula

amplitude = 0.5 - (-0.5) / 2

= 1 / 2

= 0.5

Secondly,

The amplitude of y=asin(x) and y=acos(x) represents half the distance between the maximum and minimum values of the function.

Amplitude = |a|

so,

y = .5cos6x

here a = 0.5