At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
Part 2: Designing a roller coaster
Look at the polynomial below.
y = ax3 + bx2 + cx + d
Graph this using any graphing technology of your choice. However, replace the variables a, b, c, and d with numbers. For example, you could graph y = 2x3 + 3x2 – x + 2. Observe the graphed outcomes. This is an investigation process to see what types of curves and lines you can produce with this equation.
Special Note: You may make any coefficient zero. This eliminates the variable. For example, if you wanted to make y = 3x2 + 2, a and c would be zero to cancel out the x3 and the x terms.
Select GeoGebra if you would like to use a graphing interactive to complete this part of the project.
A. Graph different functions by changing a, b, c, and d to “design” your ideal roller coaster. Come up with at least four equations that, when pieced together, would make your ultimate roller coaster. Be sure to note what window sizes you’re using in your graphs. You may have to change the default size to better see each of the polynomials’ shapes.
B. Use a drawing program (or draw by hand and scan) to recreate your roller coaster, and for each section, provide the equations you decided upon.
I need to find 4 functions using the equation given and change the variables into numbers. I already tried but every number turns the "rollercoaster" way too steep. I need help