Question

what is the amplitude of $y = \frac{1}{2} \sin 2x$?
a. $\frac{1}{2}$
b. $\left(\frac{3\pi}{2}, 0\
ight)$
c. $1$
d. $2$

Explanation:

Step1: Recall amplitude form

For $y = A\sin(Bx)$, amplitude is $|A|$.

Step2: Match given function

Here $A=\frac{1}{2}$, so amplitude is $\frac{1}{2}$.

Answer:

A. $\boldsymbol{\frac{1}{2}}$