Question

determine the amplitude of the given function.
y = - 3 sin \frac{1}{2}x

oa. \frac{\pi}{3}
ob. 4x
oc. 3
od. \frac{3\pi}{2}

Explanation:

Step1: Recall the formula for amplitude

For a function \(y = A\sin(Bx)\), the amplitude is \(|A|\).

Step2: Identify \(A\) in the given function

In the function \(y=-3\sin(\frac{1}{2}x)\), \(A = - 3\).

Step3: Calculate the amplitude

The amplitude is \(|A|=|-3| = 3\).

Answer:

C. 3