Trig Functions Test

Answer the following question for:

y=4sin(x)+3

Where is the midline?

• x=4

• y=4

• x=3

• y=3

Answer the following question for:

y=4sin(x)+3

Where are the absolute maximum(s) in terms of the x-axis?

• $-\frac{\pi}{2},\ \frac{3\pi}{2}$

• $-\frac{3\pi}{2},\ \frac{\pi}{2}$

• There are no maxiumums.

• $-2\pi,\ \pi,\ 0,\ \pi,\ 2\pi$

What parent trig function is this?

• sin(x)

• cos(x)

• csc(x)

• sec(x)

What parent trig function is this?

• sec(x)

• sin(x)

• csc(x)

• cos(x)

Use the following trig function:

 $y=\sec\left(x+\pi\right)+2$  

Where are the vertical asymptotes?

•  $-\frac{3\pi}{2},\ -\frac{\pi}{2},\ \frac{\pi}{2},\ \frac{3\pi}{2}$  

• There are no vertical asymptotes

•  $-2\pi,-\pi,\ 0,\ \pi,\ 2\pi$  

• Between -1 and 1

Use the following trig function:

 $y=\sec\left(x+\pi\right)+2$  

What is the frequency of this graph?

•  $2\pi$  

•  $\pi$  

•  $\frac{1}{2\pi}$  

•  $5\pi$  

Is

 $y=-\cot\left(\frac{x}{4}\right)$  
Increasing or Decreasing?

• Increasing

• Decreasing

• Neither

What is the phase shift of:

 $y=2\csc\left(3x-\frac{\pi}{2}\right)$  ?

•  $\frac{\pi}{2}$  

•  $-\frac{\pi}{2}$  

• There is no phase shift.

•  $\frac{\pi}{6}$  

What is the vertical shift of:

 $y=2\csc\left(3x-\frac{\pi}{2}\right)$  

• up 1

• down 1

• There is no vertical shift

•  $\frac{\pi}{2}$  

Is

 $y=3\cot\left(x\right)+1$  
Increasing or Decreasing?

• Increasing

• Decreasing
  

• Neither