Graphing Trig

Sine or Cosine?

• y=sinx

• y=cosx

What is the range of the equation 
y = 2cos(2x)? 

• All Real Numbers

• 2

• y ≥ 2

• -2 ≤ y ≤2

The vertical stretch of the graph; distance between the midline and the max/min.

• Period

• Cycle

• Axis of Oscillation

• Amplitude

Name the function and how many units the graph shifted vertically.

• sine, 3 units up

• cosine, 3 units down

• cosine, 3 units up

• sine, 3 units up

Describe the transformation of the parent function y = sin θ to y = 3 sin θ − 2 (Hint: Identify the values of A & D) Remember : y = A sin B(θ − C) + D

• stretches vertically by a factor of 3, and up 2 units

• stretches horizontally by a factor of 3 and down 2 units

• stretches vertically by a factor of 3 and down 2 units

• stretches horizontally by a factor of 3 and up 2 units

What is the equation of the graph?

•  y = 2 cos x

• y = sin x

• y = 2 sin x

• y = sin 2x 

What is the equation of the graph?

• y = -2 cos x - 3

• y = 3 cos x - 2

• y = -7 cos x - 3

• y = -3 cos x - 4 

What is the amplitude of the graph?

• 1

• 3

• 6

• 9

Which equation matches the graph?

• -tan(x-π/2)

• -tan(x+π/2)

• cot(x+π/2)

• -cot(x+π/2)

Determine an equation for this graph:

• y=2csc(x)

• y=csc(x) + 1

• y=2csc(x) + 1

• y= csc(x) + 2