Equations of Sine and Cosine

Which function represents the graph?

• f(x) = 3 sin x

• f(x) = 3 cos x

• f(x) = sin ( ⅓ x)

• f(x) = sin (3 x)

Write an equation of a sine function with a period of π and amplitude of 7.

• y=7sin2πx

• y=7sinπx

• y=2sin7x

• y=7sin2x

What is the amplitude of this function?

• 2

• 2π

• -2

• 1

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?

• y = -2 cos x - 3

• y = 3 cos x - 2

• y = -7 cos x - 3

• y = -3 cos x - 4 

What is the value of "c?"

• 135

• 90

• -90

• -180

If writing the equation of this function, what would be your a,b,c and d?

• a =1, b=1, c =- 270, d = 0

• a=2, b=1, c= 270, d = 0

• a = 2, b= 2, c = -540, d=1

• a = - 1, b=1 c=540, d=0

What is the amplitude of the graph?

• 2

• 1

• 0

• -2

What is the period?

• 180

• 157.5

• 90

• 225

What is the vertical shift (d)?

• y=1

• y=2

• y= 90

• y= - 180