The amplitude of the function $f ( x ) = 6 - 3 \sin \left( - \frac { x } { 4 } - 2 \right)$ is

A)6
B) $- 3$
C)3
D)2
E) $\frac { 1 } { 4 }$

Name: The amplitude of the function $f ( x ) = 6 - 3 \sin \left( - \frac { x } { 4 } - 2 \right)$ is A)6 B) $- 3$ C)3 D)2 E) $\frac { 1 } { 4 }$
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Question

The amplitude of the function $f ( x ) = 6 - 3 \sin \left( - \frac { x } { 4 } - 2 \right)$ is

A)6
B) $- 3$
C)3
D)2
E) $\frac { 1 } { 4 }$

Quizplus · Accepted Answer

The amplitude of a sine function is the absolute value of the coefficient of the sine term. In this case, the coefficient is -3, so the amplitude is $| -3 | = 3$.

The Amplitude of the Function f(x)=6−3sin⁡(−x4−2)f ( x ) = 6 - 3 \sin \left( - \frac { x } { 4 } - 2 \right)f(x)=6−3sin(−4x​−2)

The Amplitude of the Function $f ( x ) = 6 - 3 \sin \left( - \frac { x } { 4 } - 2 \right)$