Find the period and amplitude.
Y = 7 sin 40x

A)Period: $\pi$; Amplitude: -7
B)Period: $\pi$; Amplitude: $\frac { 1 } { 7 }$
C)Period: $\frac { \pi } { 20 }$ ; Amplitude: $- \frac { 1 } { 7 }$
D)Period: 2 $\pi$; Amplitude: 1
E)Period: $\frac { \pi } { 20 }$ ; Amplitude: 7

Question

Find the period and amplitude.  
Y = 7 sin 40x
 
A)Period:  $\pi$; Amplitude: -7
B)Period:  $\pi$; Amplitude: $\frac { 1 } { 7 }$
C)Period: $\frac { \pi } { 20 }$ ; Amplitude: $- \frac { 1 } { 7 }$
D)Period: 2 $\pi$; Amplitude: 1
E)Period: $\frac { \pi } { 20 }$ ; Amplitude: 7

Quizplus · Accepted Answer

The general form of a sine function is $y = A \sin(Bx)$, where $A$ is the amplitude and the period is given by $2\pi / B$. For $y = 7 \sin(40x)$, $A = 7$ and $B = 40$, so the amplitude is 7 and the period is $2\pi / 40 = \pi / 20$.

Find the Period and Amplitude π\piπ ; Amplitude: -7 B)Period π\piπ ; Amplitude

Find the Period and Amplitude $\pi$ ; Amplitude: -7
B)Period $\pi$ ; Amplitude