Intro to Graphing Trig Functions

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 equation of the graph shown?

• y = -sinθ -1

• y = -sinθ/2 -1

• y = -2sin2θ + 1

• y = sinθ/2 + 1

•  $\frac{\pi}{6}$  units left

What is the period?

• 3π/4

• π/2

• 2π/3

• π

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

• up 2

• left 2

• right 2

• down 2

What is the equation of the graph shown?

• y = 4cosθ/2 - 6

• y = 4cosθ/2 - 2

• y = -2cosθ/4 - 2

• y = 4cosθ/4 + 2

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

• 7

• 9

• 11

• 13

14.  What is the amplitude of the graph? 

• 1

• 3

• 6

• 9

Determine an equation for this graph:

• y=csc(x)

• y=sec(x)

• y=cot(x)

• y= tan(x)

Determine an equation for this graph:

• y=csc(x)

• y=sec(x)

• y=cot(x)

• y= tan(x)