Need help understanding this question

Question

In this unit, you graphed quadratic functions. These graphs either open up or down. Give an example of a quadratic equation whose graph will open down. Make sure your example has an a, b, and c term. Explain why your graph will open down. For your example, find the vertex and axis of symmetry. Will your vertex be a maximum or minimum point? Explain why. Find the roots of your example. Where do these solutions appear on the graph? Write your equation in standard form AND in vertex form. 

Answer 1

This question has a lot of sub-questions, so let's just see if we can get you started so you can figure out the rest. Remember that a quadratic that opens up has a vertex that is a minimum and the two sides increase in the positive y direction. Conversely, a quadratic that opens down has a vertex that is a maximum and the sides decrease towards the negative y direction. Given this, can you answer the first subquestion and provide an example of a quadratic that opens down?