Graphing Sine and Cosine

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 cosine begin?

• (0,0)
• (0,1)
• (0, Pi)
• (1, Pi)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.TF.A.2

What is the period of either graph? 
y = sin(x)      &   y = cos (x)

• Pi
• 2Pi
• Pi/2
• Pi/4 

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

What is the 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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

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

• 7
• -2
• 3
• 6

Tags

CCSS.HSF.TF.B.5

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

• a
• b
• c
• d

Tags

CCSS.HSF.BF.B.3

Look at the shape (from starting point to 2π)
Does it look like a snake or a cup?

• A
• B
• C
• D

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

• 2π/5
• π
• 5
• 5π

Tags

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

What is the period of
y= -3 sin(x)

• π
• 2π
• 3π
• 4π

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

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