Introduction to Sine and Cosine Functions

Sine Function

Multiple Choice

The __________ measure the distance from the midline to the max or min of the function.

• Amplitude

• Phase Shift

• Vertical Translation

• Horizontal Translation

Multiple Choice

If no dilations exist, what is the normal period of a sine or cosine function?

• 1/2π

• 2π

• π

• π/2

Home

Open in new tab

Copy link

Multiple Choice

The horizontal length required to complete one cycle.

• Period
• Cycle
• Axis of Oscillation
• Amplitude

y = asin(bx-h) + k

| a | = amplitude

h = translation in the x-direction (Phase Shift)

k = translation in the y-direction (Vertical Shift)

Multiple Choice

which value represents amplitude in the function  y = asin(bx-h) + k

• a
• b
• h
• k

Multiple Choice

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

• It's always 2π
• 2π/B
• B(2π)
• 2π+B

Multiple Choice

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

• 7
• -2
• 3
• 6

Multiple Choice

what is the period of y= -3sinx

• π
• 2π
• 3π
• 4π

Multiple Choice

Phase shift means ...

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

Multiple Choice

What is the vertical shift for
y = 4cos(0.5x +pi) - 2?

• up 2
• left 2
• right 2
• down 2

Multiple Choice

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

• y=6sin(8x)
• y=6sin8(x-1)
• y=6sin1/4x
• y=6sinx

Multiple Choice

Write an equation of a sine function with a period of π and amplitude of 7.

• y=7sin2πx
• y=7sinπx
• y=2sin7x
• y=7sin2x

Multiple Choice

Find the period of y=2sin[1/4x-π/2]

• π/2

• 8π

• 4π

• π

Multiple Choice

Identify the A in the sine function:
$$y\ =\ 3\ \sin\left(x\ +\ \pi\right)\ -\ 2$$  

• 3

• 1

• $$\pi$$  

• -2

Multiple Choice

Identify the B in the sine function:
$$y\ =\ 3\ \sin\left(x\ +\ \pi\right)\ -\ 2$$  

• 3

• 1

• $$\pi$$  

• -2

Multiple Choice

The Amplitude is always a positive number.

• TRUE

• FALSE

Multiple Choice

What is the amplitude and period of y = 2sin(πx)

• 2 and 2
• π and 2 
• 2 and π
• 2π and 2

Multiple Choice

What does a negative A value cause?

• A negative amplitude
• A reflection across the Y axis
• No effect
• A reflection across X axis

Multiple Select

Which of the following functions has a phase shift of π right? Mark all that apply

• y=2sin(x+π)-1

• y=2sin(x-π)-1

• y=2sin(2x+2π)-1

• y=2sin(2x-2π)-1

• y=2sin(2x-π)-1