When creating a logo, the company wants the logo in a mathematical representation so that it can be re-created in a variety of mediums.

The logo MUST include the following:

• The logo must be an original piece of work created in Desmos, demonstrating both creativity and design.
• Have at least three parabolas with defined domains and one inequality.
• Have at least three circles with defined domains and one inequality.
• Include at least one hyperbola with a defined domain.
• Include at least two ellipses with defined domains.
• Include the code (equations) for every shape.
• Domains for each shape must be written out.
• Conic sections for each shape must be written out.