Key Features of Sine & Cosine Graphs

What is the midline of the graph of: $y=4\cos\left(\frac{1}{2}x\right)-6$  

•  $y=6$  

•  $y=-6$  

•  $y=4$  

•  $y=\frac{1}{2}$  

What is the period of the graph of: $y=\cos\left(\frac{1}{4}x\right)+3$  

•  $8\pi$  

•  $4\pi$  

•  $3\pi$  

•  $\frac{1}{4}\pi$  

What is the range of the graph of: $y=5\sin\left(x\right)-4$  

•  $\left[-5,\ 5\right]$  

•  $\left[-9,\ 1\right]$  

•  $\left[1,\ 9\right]$  

•  $\left[-4,\ 4\right]$  

What is the domain of the graph of: $y=\frac{1}{3}\sin\left(x\right)+1$  

•  $\left(-\infty,\ \infty\right)$  

•  $\left[\frac{2}{3},\ \frac{4}{3}\right]$  

•  $\left[-\frac{1}{3},\ \frac{1}{3}\right]$  

•  $\left[-1,\ 1\right]$  

What is the amplitude of the graph of: $y=-2\sin\left(3x\right)+1$  

•  $-2$  

•  $2$  

•  $3$  

•  $1$  

What is the period of the graph of:  $y=-4\cos\left(2x\right)-5$  

•  $2\pi$  

•  $\pi$  

•  $4\pi$  

•  $5\pi$  

What is the midline of the graph of:  $y=3+2\sin\left(-2x\right)$  

•  $y=3$  

•  $y=2$  

•  $y=5$  

•  $y=0$  

What is the amplitude of the graph shown?

• $5$

• $-5$

• $2$

• $1$

What is the period of the graph shown?

• $4\pi$

• $2\pi$

• $\pi$

• It cannot be determined from the graph

What is the midline of the graph shown?

• $y=2$

• $y=-2$

• $y=6$

• $y=0$