Find the period and amplitude. $$y = \frac { 4 } { 5 } \sin 2 \pi x$$
A)Period: 1;Amplitude: $\frac { 4 } { 5 }$
B)Period: π;Amplitude: $\frac { 5 } { 4 }$
C)Period: 2π;Amplitude: 1
D)Period: $\frac { \pi } { 2 }$ ;Amplitude: $\frac { 1 } { 5 }$
E)Period: π;Amplitude: 5

Question

Find the period and amplitude.​ $$y = \frac { 4 } { 5 } \sin 2 \pi x$$ ​
A)Period: 1;Amplitude: $\frac { 4 } { 5 }$
B)Period: π;Amplitude: $\frac { 5 } { 4 }$
C)Period: 2π;Amplitude: 1
D)Period: $\frac { \pi } { 2 }$ ;Amplitude: $\frac { 1 } { 5 }$
E)Period: π;Amplitude: 5

Quizplus · Accepted Answer

The amplitude is the coefficient in front of the sine function, which is $\frac{4}{5}$. The period of a sine function is given by $\frac{2\pi}{B}$, where $B$ is the coefficient of $x$. Here, $B = 2\pi$, so the period is $\frac{2\pi}{2\pi} = 1$.

Find the Period and Amplitude y=45sin⁡2πxy = \frac { 4 } { 5 } \sin 2 \pi xy=54​sin2πx

Find the Period and Amplitude $y = \frac { 4 } { 5 } \sin 2 \pi x$