Transformations of Trig Functions

The __________ represents the distance above or below the midline of a sine or cosine graph; we always take the absolute value of this height.

• Period

• Vertical Shift

• Phase Shift

• Amplitude

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

• It's always 2π

• 2π/B

• B(2π)

• 2π+B

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

• a
• b
• c
• d

Tags

CCSS.HSF.BF.B.3

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

• a
• b
• c
• d

Tags

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

What is the period of
y=cos(3x - π) - 5?

• π/3
• π/6
• 2π/3
• 2π/6

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

Where is the midline for

y=2cos(1/3x +π/6) +2

• y = 1/3

• y = -2

• y = 2

• y = 4

What is the period of y=4cos(5x)

• 2π/5
• π
• 5π/2
• 5π

Tags

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

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-IF.C.7E

What is the amplitude of the function
f(x) = -3cos x   ?

• -3
• 3
• 6
• -6

Tags

CCSS.HSF.TF.B.5

Choose the correct equation for the graph.

• $y=\sin\left(x\right)$

• $y=\sec\left(x\right)$

• $y=\csc\left(x\right)$

• $y=\tan\left(x\right)$

• $y=\cot\left(x\right)$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5