Graphing Trig Functions

1.      Find the phase shift of the graph of the function 
 $y=2\cos⁡6(x+\frac{\pi}{6})$  

•  $\pi$ units right

•  $\pi$ units left

•  $\frac{\pi}{6}$  units right

•  $\frac{\pi}{6}$  units left

What is the equation of graph? 

• y = sin 5x
• y =  cos 5x
• y = 5 sin x
• y = 5 cos x 

Where does the graph of y=sin(x) begin its first cycle?

• (0,0)

• (1,0)

• (0,Pi)

• (1, Pi)

Tags

CCSS.HSF-IF.C.7E

5.  Write an equation for the cosine function with amplitude 3, period 2pi, 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

6.  What is the vertical shift for y = 4cos(¹/₂x +π) - 2?

• up 2
• left 2
• right 2
• down 2

8.  What is the period for y = 4cos(¹/₂x +π) - 2?

• pi/2
• pi
• 3pi
• 4pi

10.  What is the equation of the graph?

•  y = 2 cos x
• y = sin x
• y = 2 sin x
• y = sin 2x 

12.  What is the vertical shift? 

• Down 1
• Down 5
• Down 3
• Down 4

Tags

CCSS.HSF-IF.C.7E

15.  What is the amplitude and period of the function: y= 2/5sin9x

• Amplitude: 2/5 Period: 2π/9
• Amplitude: 2/5 Period: π/6
• Amplitude: 5/2 Period: 2π/9
• Amplitude: 5/2 Period: π/6

The vertical stretch of the graph; distance between the midline and the max/min.

• Period
• Cycle
• Axis of Oscillation
• Amplitude

Tags

CCSS.HSF-IF.C.7E