Translating Sine & Cosine Functions

Where does the graph of y=sin(x) begin its first cycle?

• (0,0)
• (1,0)
• (0,Pi)
• (1, Pi)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

Where does the graph of y=cos(x) begin its first cycle?

• (0,0)

• (0,1)

• (0, Pi)

• (1, Pi)

The function y = 2 sin θ transforms the parent function y = sin θ by _________________________

• stretching the graph vertically by a factor of 2

• translating the graph vertically up 2 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

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

Phase shift means ...

• An up or down movement
• A left or right movement
• Height of graph
• ...set Phasers to stun

Tags

CCSS.HSF.BF.B.3

What is the vertical shift for

y = 4 cos(x +π) - 2?

(Define your transformations first (a,b,c,d), and then determine which one of your answer choices matches the transformation for this function )

• up 2

• left 2

• right 2

• down 2

What is the period for

y = 4 cos(x +π) - 2?

(Define your transformations first (a,b,c,d), and then determine which one of your answer choices matches the transformation for this function )

• 2

• -2

• $2\pi$

• $\pi$

What is the amplitude for y = 4 cos(x +π) - 2?(Define your transformations first (a,b,c,d), and then determine which one of your answer choices matches the transformation for this function )

• 4

• -4

• $2\pi$

• $\pi$

• -2

What is the period of y = 4cos(2(x -1))?

• 4π

• π

• 2π

• π/2

what is the amplitude of
y = 3sin (7x) -2

• 7
• -2
• 3
• 6

Tags

CCSS.HSF-IF.C.7E