Question

question 10 of 10
what is the period of the graph of ( y = 2 cos left( \frac { pi } { 2 } x
ight) + 3 )?
a 4
b. ( \frac { 2 } { pi } )
c. ( \frac { pi } { 2 } )
d. 2

Explanation:

Step1: Recall cosine period formula

For $y = A\cos(Bx) + C$, period is $\frac{2\pi}{|B|}$.

Step2: Identify B value

Here, $B = \frac{\pi}{2}$.

Step3: Calculate period

Period = $\frac{2\pi}{\frac{\pi}{2}} = 2\pi \times \frac{2}{\pi} = 4$.

Answer:

A. 4