Graphing Trig Equations

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

• up 2

• left 2

• right 2

• down 2

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

• left pi/2

• right pi/2

• right 2pi

• left 2pi

Write the equation of the function shown in the graph:
P.S.  Even though the high value on the y axis looks like a 16, its not.  Its clearly a 15 :)

• y = 15sin(30x)

• y = 15sin(60x)

• y = 15sin(12x)

• y = 15sin(6x)

I go as high as 12 and as low as -12.  I also repeat myself every 80 degrees.  Who am I?

• y = 12sin(80x)

• y = 12sin(-12x)

• y = 12sin(6.5x)

• y = 12sin(4.5x)

Which equation starts at (50, 8)?

• y = 3sin(x - 50) - 8

• y = 50sin(x - 8)

• y = .02sin(x - 50) +8

• y = 25sin(x + 50) - 8

I go as high as 12 and as low as -12.  I also repeat myself every 90 degrees.  Who am I?

• y = 12sin(90x)

• y = 12sin(-12x)

• y = 12sin(8x)

• y = 12sin(4x)

What is the period?

• π/4

• π/2

• 2π/3

• π

What is the period?

• 4π

• 2π

• π

• 8π

Determine an equation for this graph:

• 
  
  y=csc(x)

• 
  
  y=sec(x)

• y=cot(x)
  

• 
  
  y= tan(x)

Which one of the following equations has a horizontal shift of 40 degrees and a period of 160 degrees?

• y = 160sin(40x)

• y = 160sin(x - 40)

• y = 12sin(2.25x - 40)

• y = 82sin(2.25x + 40)