find the period and amplitude of the function. y = -3 sin(3/4 x) give the exact values, not decimal…
find the period and amplitude of the function. y = -3 sin(3/4 x) give the exact values, not decimal approximations. period: amplitude:
Answer
Explanation:
Step1: Recall period formula
For $y = A\sin(Bx)$, the period $T=\frac{2\pi}{|B|}$. Here $B = \frac{3}{4}$, so $T=\frac{2\pi}{\left|\frac{3}{4}\right|}$.
Step2: Calculate the period
$T=\frac{2\pi}{\frac{3}{4}}=\frac{8\pi}{3}$.
Step3: Recall amplitude formula
For $y = A\sin(Bx)$, the amplitude is $|A|$. Here $A=-3$, so the amplitude is $|-3| = 3$.
Answer:
Period: $\frac{8\pi}{3}$ Amplitude: $3$