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 another name for a phase shift?

• Horizontal Dilation

• Horizontal Shift/Translation

• Vertical Dilation

• Vertical Shift/Translation

• y = 5 cos x

• y = 3 sin x + 2

• y = 5 cos x +2

• y = 3 cos x +2

• y = 3 cos 2/3 x

• y = 3 sin 2/3 x

• y = cos 3x

• y = 3 cos 3x

Which graphs have a period of pi?

• sine and cosine

• secant and cosecant

• tangent and cotangent

• sine, cosine, secant, and cosecant

Which trigonometric graphs have a range of [-1,1]?

• sine only

• secant and cosecant

• sine and cosine

• tangent and cotangent

• cosine only