determine the amplitude and period of the function. leave answers for the period in terms of pi. amplitude =…
determine the amplitude and period of the function. leave answers for the period in terms of pi. amplitude = period = y = 3sin4x check
Answer
Explanation:
Step1: Recall amplitude formula
For $y = A\sin(Bx)$, amplitude is $|A|$. Here $A = 3$, so amplitude $=|3| = 3$.
Step2: Recall period formula
For $y=A\sin(Bx)$, period is $\frac{2\pi}{|B|}$. Here $B = 4$, so period $=\frac{2\pi}{|4|}=\frac{\pi}{2}$.
Answer:
amplitude = 3 period = $\frac{\pi}{2}$