Question

Determine the amplitude of the function y = negative one-half cosine x. On a coordinate plane, a function curves up from (0, negative 0.5) through (1.5, 0) to (3, 0.5). a. -1 c. One-half b. -Negative one-half d. 2

Answer 1

the amplitude of the function that is y= -1/2 cos x, is 1/2.

Explanation:

Answer 2

Explanation:

The amplitude is the value that the cosine is being multiplied by.

The general equation of a sinusoid is

`a \cos(b(x + c) ) + d`

where a is the amplitude

`(2\pi)/( |b| )`

is the period

-c is the phase shift

d is the midline(vertical shift)

Here the amplitude is -1/2 so b is the correct answer.