Phase and Vertical Shifts of Trig Graphs

What is the vertical shift? 

• Down 1
• Down 5
• Down 3
• Down 4

What is the period?

• π/4
• π/2
• 3π/4
• π

Describe the horizontal and vertical shifts.

• left π , up 4

• left π , down 3

• right π , up 4

• right π , down 3

Where is the midline for
y=2cos(1/3x +π/6) +2

• 1/3
• -2
• +2
• 4

What is the period of the equation shown?

• 3π

• 2π

• 3π / 2

• 2π / 3

What is the equation of the graph shown?

• y = 4cosθ/2 - 6

• y = 4cosθ/2 - 2

• y = -2cosθ/4 - 2

• y = 4cosθ/4 + 2

Describe the horizontal shift.

• left 3π / 4

• left 4π / 3

• right 3π

• right 3π / 4

5.  Write an equation for the cosine function with amplitude 3, period 2pi, phase shift of pi, and vertical shift of 5.

• y = 5cos(x - pi) + 3
• y = 3cos(x - pi) + 5
• y = 3cos(2x - pi) + 5
• y = 5cos(2x - pi) + 3

What is the vertical shift for

y = 4 cos(x +π) - 2?

• up 2

• left 2

• right 2

• down 2

In the functions f(x)=Asin(Bx + C) + D, D represents what?

• Amplitude

• Midline

• Phase Shift

• Vertical Translation

• Horizontal Translation