• Review the Example below at the bottom of this document.
• Click on the hyperlink Wolframwebsite ([url removed, login to view]).
Click on the “Try the Interactive CDF examples” link under Professional & Enterprisecolumn on the left of the page ([url removed, login to view]). Note: You may need to download the CDF player first. Scroll to the middle of the page & click on the red “Interact Now: Get the free Wolfram CDF Player” button.
On the CDF Player page ([url removed, login to view] or [url removed, login to view]), click on “Explore demonstrations now” link at the bottom left of the page.
• Under the heading Wolfram Demonstrations Project, search for parabolas and choose the following demonstration: How does the vertex location of a parabola change?
EXPLORING THE COEFFICIENTS: 5 points
Using the application, click on LABEL and GRID to see the equation and a grid. Move the sliding bar for the c variable to the left and right. For this project, use the title “C-variable” and describe what happens to the parabola and the equation. Please write your description in complete sentences. Reset the parabola and investigate further by changing the ‘a’ and ‘b’ variables. The use the title “A-variable” and “B-variable” and describe how the variables affect the graph of the parabola.
DISCOVERING A REAL LIFE EXAMPLE: 15 points
Recall the definition of a function. View the real life example at the end of the project and answer the questions that will help describe the function with as much detail as possible.
You will be graphing the function, finding the maximum (vertex) point, determining the domain, finding random points and writing them using functional notation and determining where the function is increasing and decreasing.
EXPANDING ON YOUR OWN REAL LIFE EXAMPLE: 15 points
Review the introduction and the examples you wrote down from within the textbook. Write a real life description of what a function could represent (Review the Example below at the bottom of this document). Include descriptions of each piece found In the example below. Will your real life example be a function that represents the height of a punted football, the path of a kid as he dives off a diving board, a function describing the number of dates 18-year-olds go on or one describing the number of IPhones purchased between two different years? You decide and be creative!
Consider restricting the domain so that the function is valid for your description.
For the important parts of a parabolic function discussed above (vertex, domain, etc.) describe in your own words using non-math terms what each of these parts represent in the real world.