For $$f ( x ) = A \sin \left( \frac { 2 \pi } { B } ( x - C ) \right) + D$$ identify either A, B, C, or D as ind icated for the sine function.
Find A.
-$$y = - 2 \sin \left( - \theta + \frac { \pi } { 2 } \right)$$
A) $\frac { \pi } { 2 }$
B) -4
C) - 1
D) - 2

Question

Quizplus · Accepted Answer

A represents the amplitude of the sine function, which is the coefficient of the sine term. In the given function, $-2$ is the coefficient of the sine term, indicating the amplitude is $-2$.

For f(x)=Asin⁡(2πB(x−C))+Df ( x ) = A \sin \left( \frac { 2 \pi } { B } ( x - C ) \right) + Df(x)=Asin(B2π​(x−C))+D

For $f ( x ) = A \sin \left( \frac { 2 \pi } { B } ( x - C ) \right) + D$