Question

Find the amplitude of the function.
y=4 sin 3x

Answer 1

Answer: a. 4

Explanation:

Given the sine function in the form:

`y = asin(b(h-x))+k`

You can identify the amplitude, the period, the vertical shift and the horizontal shift:

`amplitude=|a|\\\\period=(2\pi)/(b)\\\\vertical\ shift=k\\\\horizontal\ shift=h`

For the function
`y=4sin3x`, identify "a":

`a=4`

Then the amplitude is:

`Amplitude=|a|\\Amplitude=|4|\\Amplitude=4`

Answer 2

a. 4

EXPLANATION

The given function is

`y = 4 \sin(3x)`

This function is of the form:

`y = A \sin(Bx)`

where the amplitude is |A|.

By comparison, A=4.

Therefore the amplitude is |4|=4

The correct choice is A.