Find the specified quantity.
-Find the amplitude of $y = - 2 \cos \left( 3 x + \frac { \pi } { 4 } \right)$.
A) $\frac { \pi } { 2 }$
B) 2
C) $- 6$
D) 3

Question

Quizplus · Accepted Answer

The amplitude of a trigonometric function like $y = A \cos(Bx + C)$ or $y = A \sin(Bx + C)$ is given by the absolute value of the coefficient $A$. In this case, for $y = -2 \cos(3x + \frac{\pi}{4})$, the amplitude is $|-2| = 2$.

Find the Specified Quantity y=−2cos⁡(3x+π4)y = - 2 \cos \left( 3 x + \frac { \pi } { 4 } \right)y=−2cos(3x+4π​)

Find the Specified Quantity $y = - 2 \cos \left( 3 x + \frac { \pi } { 4 } \right)$