10.05 & 10.06 Graphing Sine & Cosine Functions

The period of a function is

• the length of one cycle

• how high and low the function goes from the center line

• the range of the function

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

Assuming no transformations, what type of function is this?

• sin

• cos

• tan

• cot

What is the amplitude of this function?

• 2
• 2π
• -2
• 1

• y = sin x
• y = - sin x
• y = cos x
• y = - cos x

What is the domain and range of y=sinx?

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

What does a negative A value cause?

• A negative amplitude
• A reflection across the Y axis
• No effect
• A reflection across X axis

What is the period of y=4cos5x

• 2π/5
• π
• 5
• 5π

What is the equation of the graph?

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