Intro to Graphing Trig Functions

A trig function has an amplitude of 4 and a minimum value of 5.  What is its maximum value?

• 7
• 9
• 11
• 13

What is the equation of graph? 

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

Which is an equation of the cosine function with an amplitude of 2, period of π, phase shift of π/2?

• y= -2cos(x/2 - π/4)

• y= 2cos (x/2 + π)

• y= 2cos (2x - π)

• y= -2cos(2x - π/2)

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

• left π/2

• right π/2

• right 2π

• left 2π

What is the equation of the graph?

• y = -2 cos x - 3
• y = 3 cos x - 2
• y = -7 cos x - 3
• y = -3 cos x - 4 

The __________ measure the distance from the midline to the max or min of the function.

• Amplitude

• Phase Shift

• Vertical Translation

• Horizantal Translation

If no dilations exist, what is the normal period of a sine or cosine function?

• 1/2π

• 2π

• π

• π/2

What is the domain and range of y=sinx?

• D: (-∞, ∞)
  R: [-1, 1]
  
• D: (-∞, ∞)
  R: [-π, π]
• D: (∞, -∞)
  R: [-1, 1]
  
• D: (-∞, ∞)
  R: [-∞, ∞]
  

What is the period?

• π/4
• π/2
• 3π/4
• π

What is the equation of this graph?

• y=cos2x
• y=2sin2x
• y=2cos2x
• y=2sinx