# Design an Amusement Park

Design an Amusement Park

You are a structural engineer who specializes in roller coaster design and you’ve been hired by Elitch Gardens in Denver to revamp their amusement park. You are tasked with designing THREE new roller coaster rides for Elitch Gardens.

Here is the __template__ you are going to work with. Please make sure to make a copy in order to get started.

Some Important Details:

· *One unit on the Desmos graph represents 10 feet (1 unit = 10 feet)*

· Your roller coasters should be **realistic**. Make them tall! Wide! Scary!

· Get creative – name them if you want, if you want to draw it and upload a photo of your design, great!

· You will have requirements for each of the three rides that you design. They are on the next page.

Rubric:

0-2 |
3-4 |
5-6 |
7-8 |

No or Minimal Attempt made | Partially Complete, with some accurate calculations shown. | Mostly Complete, most accurate calculations shown. | Complete, all accurate calculations shown. |

**RIDE REQUIREMENTS**

Ride 1 Requirements:

1. It must start from the ground (use this as your starting point when graphing, even if the “coaster” goes below the axis before this point).

2. It must go underground into a tunnel (below x-axis) at least once.

3. It must be a cubic (degree 3) function.

4. It must have 3 real roots (zeros).

*Everything else is up to you*

Ride 2 Requirements:

1. It must start above ground level & end above ground level (use this as your starting point when graphing)

2. It can **only** go underground into a tunnel (below x-axis) ONCE.

3. It must be a quartic (degree 4) function.

4. It must have 3 real roots (zeros).

*Everything else is up to you*

Ride 3 Requirements:

1. It must start above ground level (use this as your starting point when graphing, even if the “coaster” goes below the axis after this point).

2. It must end AT ground level (use this as your end point when graphing)

3. It can go underground into a tunnel (below x-axis) as often as you want.

4. It must be a quintic (degree 5) function.

5. It should be reflected (down) over the x-axis.

6. It must have 3 or more real roots(zeros).

*Everything else is up to you*