determine the amplitude or period as requested. amplitude of $y = -\\frac{1}{5}\\sin x$ a. $-\\frac{1}{5}$…

determine the amplitude or period as requested. amplitude of $y = -\\frac{1}{5}\\sin x$ a. $-\\frac{1}{5}$ b. $\\frac{1}{5}$ c. 5 d. $\\frac{\\pi}{5}$

determine the amplitude or period as requested. amplitude of $y = -\\frac{1}{5}\\sin x$ a. $-\\frac{1}{5}$ b. $\\frac{1}{5}$ c. 5 d. $\\frac{\\pi}{5}$

Answer

Explanation:

Step1: Recall amplitude formula

For a sine - function of the form $y = A\sin(x)$, the amplitude is given by $|A|$. In the function $y=-\frac{1}{5}\sin(x)$, $A =-\frac{1}{5}$.

Step2: Calculate the amplitude

The amplitude is $|-\frac{1}{5}|=\frac{1}{5}$.

Answer:

B. $\frac{1}{5}$