Graphing Trig Functions

1.  Determine an equation for this graph:

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

Tags

CCSS.HSF.TF.B.5

CCSS.HSF.IF.C.7

2.  Determine an equation for this graph:

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

Tags

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

3.  Determine an equation for this graph:

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

Tags

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

4.  Determine an equation for this graph:

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

Tags

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

CCSS.HSF.TF.A.2

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

Tags

CCSS.HSF-IF.C.7E

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

• up 2
• left 2
• right 2
• down 2

Tags

CCSS.HSF-IF.C.7E

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

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

Tags

CCSS.HSF-IF.C.7E

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

• pi/2
• pi
• 3pi
• 4pi

Tags

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

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

• 2
• pi/2
• pi
• 4

Tags

CCSS.HSF-IF.C.7E

10.  What is the equation of the graph?

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

Tags

CCSS.HSF-IF.C.7E