4.4 Graphing sine and cosine Functions.

4.4 Graphing sine and cosine Functions.

Monday. January 11/ 2021

Multiple Choice

What is the amplitude of this function?

• A) 2

• B) 2π

• C) -2

• D) 1

Multiple Choice

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

• A) It's always 2π

• B) 2π/b

• C) b(2π)

• D) 2π+b

Multiple Choice

What is the period of

y= -3 sin(x)

• A) π

• B) 2π

• C) 3π

• D) 4π

Multiple Choice

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

• 2π/5
• π
• 5
• 5π

Multiple Choice

what is the amplitude of

y = 3sin (7x) -2

• 7

• -2

• 3

• 6

Multiple Choice

The period of a function is

• the length of one cycle

• how high and low the function goes from the center line

• the range of the function

Multiple Choice

Write the equation for a sine function with an amplitude of 6 and a period of π/4.

• A) y=6sin(8x)

• B) y=6sin8(x-1)

• C) y=6sin1/4x

• D) y=6sinx

Multiple Choice

What is the equation of the graph?

• A) y = 2 cos x

• B) y = sin x

• C) y = 2 sin x

• D) y = sin 2x

Multiple Choice

What is the equation of graph?

• A) y = sin 5x

• B) y = cos 5x

• C) y = 5 sin x

• D) y = 5 cos x

Multiple Choice

What is the period of the graph?

• A)0 2Pi

• B) Pi

• C) Pi/2

• D) Pi/4

Multiple Choice

What is the amplitude of the graph?

• A) -2

• B) 2

• C) 4

• D) -4

Multiple Choice

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 )

• A) up 2

• B) left 2

• C) right 2

• D) down 2

Multiple Choice

What is the period of either graph?

y = sin(x) & y = cos (x)

• A) Pi

• B) 2Pi

• C) Pi/2

• D) Pi/4

Multiple Choice

Where does the graph of cosine begin?

• A) (0,0)

• B) (0,1)

• C) (0, Pi)

• D) (1, Pi)

Multiple Choice

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

• (0,0)
• (1,0)
• (0,Pi)
• (1, Pi)

Multiple Choice

Write the equation for a sine function with an amplitude of 6 and a period of  $\frac{\pi}{4}$  .

•  $y=6\sin8\theta$  

•  $y=6\sin8\left(\theta-1\right)$  

•  $y=6\sin\ \frac{1}{4}\theta$ 

•  $y=6\sin\theta$  

Multiple Choice

• $period:\ \pi$

• $period:\ 2\pi$

• $period:\ 3\pi$

• $period:\ 4\pi$

Multiple Choice

• $period:\ 6\pi$
  

• $period:\ 3\pi$

• $period:\ 2\pi$

• $period:\ 8\pi$

Multiple Choice

What is the equation of the graph?

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

Multiple Choice

What is the equation of graph? 

• y = sin 5x
• y =  cos 5x
• y = 5 sin x
• y = 5 cos x