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.
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.

Answer 1

I would start playing around on wolframalpha.com, my graphing technology of choice.

Answer 2

You can signify the boundaries by saying "plot y = ax3 + bx2 + cx + d from -(whatever) to +(whatever)", and of course a, b, c, and d will be numbers.

Answer 3

okay what if i have this so far

Answer 4

and i want to create another equation that will look like this...

Answer 5

so basically i want the other equation to be a reflection of the first one but i don't know how i would do that.

Answer 6

What equation do you have so far?

Answer 7

well now i have this