Graphing trigonometric functions

Name this graph.

• Sine
• Cosine
• Tangent
• Linear

Which of the following could be the equation for the graph shown. Select all appropriate answers.

• $y=20\sin\left(6\left(x-15\right)\right)+10$

• $y=20\sin\left(6x\right)+10$

• $y=-20\cos\left(6x\right)+10$

• $y=20\cos\left(6\left(x-30\right)\right)+10$

Which of the following is true for f(x) = –2sin(x) – 3?

• The range of the function is the set of real numbers -2 ≤ y ≤ 2.

• The graph of the function is the graph of f(x) = –2sin(x) shifted 3 units up.

• The amplitude of the function is 2.

• The period of the function is 4Π.

What type of function is it

• positive sine

• positive cosine

• negative sine

• negative cosine

Find the amplitude of the graph shown.

• 2
• 4
• 6
• 8

What is the equation of the graph shown?

• y = -sinθ -1

• y = -sinθ/2 -1

• y = -2sin2θ + 1

• y = sinθ/2 + 1

What is the period of this graph?

• π

• 2π

• π/2

• π/4

What is the midline?

• y=-3

• y=0

• y=-6

What is the vertical shift? 

• Down 1
• Down 5
• Down 3
• Down 4

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