Precalculus: Quiz 3 review

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

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

• left pi/2
• right pi/2
• right 2pi
• left 2pi

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

• pi/2
• pi
• 3pi
• 4pi

9.  What is the amplitude for y = 4cos(¹/₂x +π) - 2?

• 2
• pi/2
• pi
• 4

16.  Which equation matches the graph?

• -tan(x-π/2)
• -tan(x+π/2)
• cot(x+π/2)
• -cot(x+π/2)

17.  Determine the equation

• tan x
• cot x
• tan 2x
• cot 2x

A trig function has an amplitude of 4 and a minimum value of 5.  What is its maximum value?

• 7
• 9
• 11
• 13

Which is an equation of the cosine function with an amplitude of 2, period of Π, phase shift of Π/2?

• y= -2cos(x/2 - ∏/4)
• y= 2cos (x/2 + ∏)
• y= 2cos (2x-∏)
• y= -2cos(2x-∏/2)

Describe the horizontal shift.

• left 3π / 4

• left 4π / 3

• right 3π

• right 3π / 4

tan(sin^-1(-1/2))

• √3
• √3/3
• -√3
• -√3/3