Determine the amplitude or period as requested.
Graph Variations of y = cos x
-Period of $y = - 5 \cos \frac { 1 } { 2 } x$
A) $4 \pi$
B) $- 5$
C) $\frac { 5 \pi } { 2 }$
D) $\frac { \pi } { 2 }$

Question

Quizplus · Accepted Answer

The period of a function in the form $y = a \cos(bx)$ is given by $\frac{2\pi}{|b|}$. For $y = -5 \cos\left(\frac{1}{2}x\right)$, $b = \frac{1}{2}$, so the period is $\frac{2\pi}{\frac{1}{2}} = 4\pi$.

Determine the Amplitude or Period as Requested y=−5cos⁡12xy = - 5 \cos \frac { 1 } { 2 } xy=−5cos21​x

Determine the Amplitude or Period as Requested $y = - 5 \cos \frac { 1 } { 2 } x$