Precalculus - Graphing Trig Functions & Transformations TEST

What is the period of either graph?

y = sin(x) & y = cos (x)

• $\pi$

• $2\pi$
  

• $\frac{\pi}{2}$
  

• $\frac{\pi}{4}$
  

Tags

CCSS.HSF-IF.C.7E

Determine an equation for this graph:

• y=csc(x)

• y=sec(x)

• y=cot(x)

• y= tan(x)

1.  Determine an equation for this graph:

• y=2csc(x)
• y=csc(x) + 1
• y=2csc(x) + 1
• y= csc(x) + 2

2. Determine an equation for this graph:

• y=sec(x)

• y=2sec(x)

• y=2csc(x)

• y= csc(2x)

5. Write an equation for the cosine function with amplitude 3, period  $2\pi$  , phase shift of  $\pi$ , and vertical shift of 5.

• y = 5cos(x -  $\pi$ ) + 3

• y = 3cos(x -  $\pi$ ) + 5

• y = 3cos(2x -  $\pi$ ) + 5

• y = 5cos(2x -  $\pi$ ) + 3

Tags

CCSS.HSF-IF.C.7E

7. What is the phase shift for y = 4cos( $\frac{1}{2}$ x + $\pi$ ) - 2?

• left  $\frac{\pi}{2}$  

• right  $\frac{\pi}{2}$  

• right  $2\pi$  

• left  $2\pi$  

Tags

CCSS.HSF-IF.C.7E

What is the amplitude and period of the function: y=  $\frac{2}{5}$  sin9x

• Amplitude: 2/5 Period: 2π/9

• Amplitude: 2/5 Period: π/6

• Amplitude: 5/2 Period: 2π/9

• Amplitude: 5/2 Period: π/6

Tags

CCSS.HSF-IF.C.7E

The __________ represents half the distance between the max and min of a sine or cosine graph. 

• Period
• Frequency
• Extreme Values
• Amplitude

Tags

CCSS.HSF-IF.C.7E

Sine or Cosine?

• y=sinx
• y=cosx

Tags

CCSS.HSF-IF.C.7E

Sine or Cosine?

• y=sinx
• y=cosx

Tags

CCSS.HSF-IF.C.7E