Graphing Trigonometric Functions

State the midline and amplitude of the function. State if the function is sine or cosine.

• midline = 1

  amplitude = -1

  sine function

• midline = 1

  amplitude = 1

  sine function

• midline = 1

  amplitude = 1

  cosine function

• midline = 1

  amplitude = -1

  cosine function

• Period=1

  Midline y=-1

  Amplitude =-2

State the midline and amplitude of the function. State if the function is sine or cosine.

• midline = -3

  amplitude = -5

  sine function

• midline = -3

  amplitude = 2

  sine function

• midline = -3

  amplitude = 2

  cosine function

• midline = -3

  amplitude = -2

  cosine function

Which function represents the graph shown?

• y = 3 cos x - 1

• y = -3 cos x - 1

• y = -3 sin x - 1

• y = 3 sin x - 1

State the amplitude and the midline for the function.

y = -5 cos x

• midline = 1

  amplitude = 5

• midline = 1

  amplitude = -5

• midline = 0

  amplitude = -5

• midline = 0

  amplitude = 5

State the midline and the amplitude.

y = sin x - 6

• midline = -6

  amplitude = 1

• midline = -6

  amplitude = 0

• midline = 1

  amplitude = -6

• midline = 0

  amplitude = -6

What is the amplitude of the graph? 

• -2
• 2
• 4
• -4

What is the equation of graph? 

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

Which function represents the graph?

• f(x) = cos (⅓ x)
• f(x) = ⅓ cos x
• f(x) = ⅓ sin x
• f(x) = sin (⅓ x)