Determine the amplitude or period as requested.
Graph Variations of y = cos x
-Amplitude of $y = - 2 \cos \frac { 1 } { 3 } x$
A) 2
B) $\frac { 2 \pi } { 3 }$
C) $\frac { \pi } { 2 }$
D) $6 \pi$

Question

Quizplus · Accepted Answer

The amplitude of a trigonometric function like $y = -2\cos\frac{1}{3}x$ is given by the absolute value of the coefficient in front of the cosine function, which in this case is $|-2| = 2$. The period or phase shift is not relevant for determining the amplitude.

Determine the Amplitude or Period as Requested y=−2cos⁡13xy = - 2 \cos \frac { 1 } { 3 } xy=−2cos31​x

Determine the Amplitude or Period as Requested $y = - 2 \cos \frac { 1 } { 3 } x$