Vertical and Phase Shifts of Sine and Cosine

Graphing Sine and Cosine

Multiple Choice

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

• 7
• -2
• 3
• 6

Multiple Choice

What is the amplitude of
y = 3 cos 2x?

• 3
• 2
• 90⁰
• 350⁰

Practice Finding Period

Multiple Choice

The period of a function is

• the length on the x axis of one cycle

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

• the range of the function

• the height of the function

Multiple Choice

What is the period of either graph?

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

• Pi

• 2Pi

• Pi/2

• Pi/4

Multiple Choice

What is the period of

y= 4 cos (5x)

• 2π/5

• π

• 5

• 5π

Multiple Choice

What is the phase shift for

y = 4 cos(x +π) - 2?

• up 2

• left pi

• right pi

• down 2

Multiple Choice

8. What is the phase shift for y = 4cos(¹/₂x +π) - 2?

• pi/2

• pi

• 2pi

• 4pi

Multiple Choice

Identify the vertical shift of the following equation:  $$f\left(x\right)=-4\cos\left(15x\right)+2$$  

• 4

• - 4

• 2

• 24

Multiple Choice

What is the vertical shift for

y = 4 cos(x +π) - 2?

• up 2

• left 2

• right 2

• down 2

Put it all together!

Find the Amplitude, Phase shift, vertical shift and period of:

y = 7sin(-1/4x+6) -1/3

Write this down and let's work it out together.