Question

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 together (or independently if working alone). This is an investigation process to see what types of curves and lines you and your partner can produce with this equation.

Answer 1

B. Discuss with your partner what you would like to see in a roller coaster. 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.
C. Use a drawing program (or draw by hand and scan) to recreate your roller coaster, and for each section, provide the equations you and your partner decided upon.

You may view a sample rollercoaster to get an idea of what is expected for parts A – C.
D. Using complete sentences, describe the theme of your roller coaster (example: monsters), and give your instructor details as to what your roller coaster would look like, feel like, and what makes your roller coaster unique.

Answer 2

have you graphed a curve...?

Answer 3

nope @campbell_st

Answer 4

ok.... here is a website that may help

it will allow you so graph a few together and see what changing the different values for a, b, c and d have on the basic graph...

https://www.desmos.com/calculator