Matching Trig Graphs With Their Equations

1.  Determine an equation for this graph:

• y=2csc(x)
• y=csc(x) + 1
• y=2csc(x) + 1
• y= csc(x) + 2

2.  Determine an equation for this graph:

• y=sec(x)
• y=2sec(x)
• y=2csc(x)
• y= csc(2x)

3.  Determine an equation for this graph:

• y=csc(x)
• y=sec(x)
• y=cot(x)
• y= tan(x)

4.  Determine an equation for this graph:

• y=csc(x)
• y=sec(x)
• y=cot(x)
• y= tan(x)

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

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

• up 2
• left 2
• right 2
• down 2

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

10.  What is the equation of the graph?

•  y = 2 cos x
• y = sin x
• y = 2 sin x
• y = sin 2x