Modeling with Sine and Cosine

What is the amplitude of y = 5sin(3x) + 4?

• 3

• 4

• 5

• 1

A Ferris wheel is 5 feet off the ground and has a diameter of 40 feet. You get on and find that it takes 30 seconds to complete one revolution. Write an equation that models your height, y, as a function of time, x.

• y = 20cos(pi/15 x) + 5

• y = -20cos(pi/15 x) + 5

• y = 40cos(pi/30 x) + 5

• y = -40cos(pi/30 x) + 5

• y = -20cos(pi/30 x) + 5

What is the period of y=4cos5x

• 2π/5
• π
• 5
• 5π

Tags

CCSS.HSF-IF.C.7E

The __________ represents half the distance between the max and min of a sine or cosine graph. 

• Period
• Frequency
• Extreme Values
• Amplitude

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

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)

Tags

CCSS.HSF-IF.C.7E

What is the period of this equation?
y = -5sin(3x)

• -5
• 2pi/3
• 2pi/5
• 3

Tags

CCSS.HSF-IF.C.7E

• f(x) = 3 sin x
• f(x) = 3 cos x
• f(x) = sin (⅓ x)
• f(x) = cos (⅓ x)

Tags

CCSS.HSF-IF.C.7E

Write the equation for a sine function with an amplitude of 6 and a period of π/4.

• y=6sin(8x)
• y=6sin8(x-1)
• y=6sin1/4x
• y=6sinx

Tags

CCSS.HSF.TF.A.4

A sine graph with a period of 2π and amplitude of 3 has a rule given by

• y= 2πsin(3x)
• y=2sin(3x)
• y=3sin(2x)
• y=3sin(2πx)