The Graph of Sine

The __________ represents half the distance between the max and min of a sine or cosine graph or the distance from the midline to the max or min.

• Period

• Frequency

• Extreme Values

• Amplitude

The period of a sine function is defined as the...

• length of one cycle

• distance from the minimum to the equillibrium

• the line that cuts the graph in half

• the length of time it takes to trace the perimeter of a circle

The period of a sine or cosine graph can be found by ....

• It's always 2π
• 2π/B
• B(2π)
• 2π+B

Tags

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

The frequency (also known as the b-value) is the number of cycles that can be seen within any 2pi interval.

• True

• False

What is the amplitude of this sine function?

• 2

• -2

• 1

• -1

How many cycles do you see between 0 and 2pi? This will help you determine the b-value of the function.

• 2

• -2

• 1

• -1

What is the equation of the graph?

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.TF.B.5

What is the domain and range of y=sinx?

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

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

What does a negative A value cause?

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Which value will help you find the amplitude in the function y = asin(bx-h) + k

• a

• b

• h

• k