Question

Find the amplitude of y = -4 sin x.

Answer 1

Answer: The amplitude is 4.

Step-by-step explanation:

Given the form of the sine function:

$y=Asin(Bx)+k$

Where $|A|$ is the amplitude, $\frac{2\pi }{B}$ is the period and "k" is the vertical shift of the wave.

You know that, in the sine function given ( $y = -4 sin x$), you can identify the amplitude and the period. These are:

•  The amplitude is:

     $|A|=|-4|=4$

• And the period is:

      $\frac{2\pi }{1}=2\pi$

Therefore, the amplitude of  $y = -4 sin x$ is:

$|A|=4$