Chapter 10 Test

Last updated about 1 month ago

8 questions

When you board a Ferris wheel your feet are 1 foot off the ground. At the highest point of the ride, your feet are 99 feet above the ground. It takes 30 seconds for the ride to complete one full revolution. Write a trigonometric equation for your height above the ground at x seconds after the ride starts.

Chapter 10 Test

Last updated about 1 month ago

8 questions

What are the maximum, minimum, midline and amplitude of the following graph:


Maximum: _______ 
Minimum: _______ 
Midline at y= _______ 
Amplitude: _______ 

Determine the Midline, Amplitude, Maximum, Minimum, Period, and Frequency of the following function
f(x)=0.25\sin(\frac{4x}{7})+3
Midline:_______ 
Amplitude:_______ 
Maximum:_______ 
Minimum:_______ 
Period:_______ 
Frequency:_______ 
Leave Period and Frequency as FRACTIONS!

Create an equation in the form of f(x)=A\sin(Bx)+C with the given characteristics:
Period: \frac{4\pi}{11}
Amplitude: 9.33
Midline: 6

Equation: f(x)=_________    \sin(_________  x)+______    

Other Answer Choices:

9.25

12/2

10/3

4.5

6.5

9.33

-3

-4

8.75

11/2

An object attached to a spring oscillates around a stable (equilibrium) position according to the position formula given by s(t) = 8\sin(3t) where t is in seconds and s(t) is in feet. What are the period, frequency and maximum from the stable (equilibrium) position? Once finished, graph the formula in the show your work section. You must graph by hand, no screen shots!
Period:_______ 
Frequency:_______ 
Maximum:_______ 
Did you graph the function? If so, type "done" here: _______ 
Leave Period and Frequency as FRACTIONS!

When you board a Ferris wheel your feet are 1 foot off the ground. At the highest point of the ride, your feet are 99 feet above the ground. It takes 30 seconds for the ride to complete one full revolution. Write a trigonometric equation for your height above the ground at x seconds after the ride starts.

You are going to create your own sinusoidal function and answer questions about it for the next few questions.

Create a sinusoidal function.

Requirements:
Must have an amplitude greater than 3.99 or less than -0.01
Must have a vertical shift in the range of -7.76\leq C\leq 7.75
Must have a period between 12 and \pi

Using the equation that you made in the previous problem, fill out the different aspects of it:
Midline: _______ 
Amplitude: _______ 
Minimum: _______ 
Maximum: _______ 
Period: _______ 
Frequency: _______ 

Chapter 10 Test

Chapter 10 Test

Create a sinusoidal function.

Requirements:
Must have an amplitude greater than 3.99 or less than -0.01
Must have a vertical shift in the range of -7.76\leq C\leq 7.75
Must have a period between 12 and \pi

Create a sinusoidal function.

Requirements:
Must have an amplitude greater than 3.99 or less than -0.01
Must have a vertical shift in the range of -7.76\leq C\leq 7.75
Must have a period between 12 and \pi

Graph your equation. You must do it by hand. If you paste a screenshot, you will not get credit. You need to label the minimum, maximum, midline and period

Graph your equation. You must do it by hand. If you paste a screenshot, you will not get credit. You need to label the minimum, maximum, midline and period

Chapter 10 Test

Chapter 10 Test

Create a sinusoidal function. Requirements: Must have an amplitude greater than 3.99 or less than -0.01Must have a vertical shift in the range of -7.76\leq C\leq 7.75 Must have a period between 12 and \pi

Create a sinusoidal function. Requirements: Must have an amplitude greater than 3.99 or less than -0.01Must have a vertical shift in the range of -7.76\leq C\leq 7.75 Must have a period between 12 and \pi

Graph your equation. You must do it by hand. If you paste a screenshot, you will not get credit. You need to label the minimum, maximum, midline and period

Graph your equation. You must do it by hand. If you paste a screenshot, you will not get credit. You need to label the minimum, maximum, midline and period

Create a sinusoidal function.

Requirements:
Must have an amplitude greater than 3.99 or less than -0.01
Must have a vertical shift in the range of -7.76\leq C\leq 7.75
Must have a period between 12 and \pi

Create a sinusoidal function.

Requirements:
Must have an amplitude greater than 3.99 or less than -0.01
Must have a vertical shift in the range of -7.76\leq C\leq 7.75
Must have a period between 12 and \pi