Intro to Graphing Trig Functions

What is the range of the equation 
y = 2cos(2x)? 

• All Real Numbers

• 2

• y ≥ 2

• -2 ≤ y ≤2

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

• Period

• Cycle

• Axis of Oscillation

• Amplitude

Describe the transformation of the parent function y = sin θ to y = 3 sin θ − 2 (Hint: Identify the values of A & D) Remember : y = A sin B(θ − C) + D

• stretches vertically by a factor of 3, and up 2 units

• stretches horizontally by a factor of 3 and down 2 units

• stretches vertically by a factor of 3 and down 2 units

• stretches horizontally by a factor of 3 and up 2 units

what is the amplitude of

y = -3sin (7x) -2

• 7

• -2

• 3

• -3

What is the vertical shift for

y = 4 cos(x) - 2?

• up 2

• left 2

• right 2

• down 2

What is the range of the function y=3sinθ - 2

• [-1,1]

• (-∞,∞)

• [-5,1]

• [5,-1]

What is the vertical shift? 

• Down 1

• Down 5

• Down 3

• Down 4

Determine an equation for this graph:

• 
  
  y=csc(x)

• 
  
  y=sec(x)

• y=cot(x)
  

• 
  
  y= tan(x)

The following wave represents a sound recorded for 8s.  Which equation best represents this wave?

• S = 5sin(2x)

• S = sin(5x) 

• S = 5sin(180x)

• S = 180sin(5x)

What is the equation of the graph?

•  y = 2 cos x

• y = sin x

• y = 2 sin x

• y = sin 2x