Trigonometric Graphs

Which function below matches this graph?

• 3+sin(x)
• 3sin(x)
• sin3(x)
• sin(x-3)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.TF.B.5

Which function below matches this graph?

• -cos3(x)
• -3cos(x)
• cos(x)-3
• cos(x+3)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

Which function below describes only the following transformations?
Left π/2
Period: π

• csc2(x+π/2)
• 2sec(x+π/2)
• tanπ/2(x+2)
• 2-csc(x+π/2)

Which function below describes only the following transformations?
Reflection over x-axis
Amplitude: 1/2

• -1/2+sin(x)
• sec1/2(x-π)
• cot(x-π/2)
• -1/2tan(x)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.TF.B.5

Which function below describes only the following transformations?
Up 3
Right π/6

• 3+cos(x-π/6)
• 3sec(x-π/6)
• tan(x+π/6)-3
• sin3(x+π/6)

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

• Period
• Frequency
• Extreme Values
• Amplitude

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.TF.B.5

What is the period of this equation?
y = -5sin(3x)

• -5
• 2pi/3
• 2pi/5
• 3

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

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.TF.A.2

CCSS.HSF.TF.A.4

What is the amplitude of the graph? 

• 1
• 3
• 6
• 9

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.TF.B.5

Which value helps identify a horizontal shift in the following function y=a*sin(bx-c)+d?

• a
• b
• c
• d

Tags

CCSS.HSF.BF.B.3