sketch the graph of the function over the interval 15. y = 2 cos x amplitude=____ period=____

Explanation:

Step1: Recall amplitude formula

For the function $y = A\cos(x)$, the amplitude is given by $|A|$. In the function $y = 2\cos(x)$, $A = 2$, so the amplitude is $|2|=2$.

Step2: Recall period formula

For the function $y=\cos(Bx)$, the period is given by $T=\frac{2\pi}{|B|}$. In the function $y = 2\cos(x)$, $B = 1$, so the period is $\frac{2\pi}{|1|}=2\pi$.

Answer:

Amplitude: 2 Period: $2\pi$