Extension: Part D: Code

Challenge!

Some of you have an interest and aptitude for coding. Coding is math. 

Write a simple Python code that can:

Ask the the user for input for the following:

Enter: a

Enter: b

Enter: c

Your program then calculates and spits out the roots of the quadratic, and the coordinates of its vertex, along with the y-intercept. It will also create a graph of the quadratic - the parabola! 

Finally, in your own words, explain why your calculator can be helpful - what is the value of quickly determining the roots and vertex of a quadratic function. What are the real-world applications of figuring our the vertex (minimum, maximum) of a quadratic and the roots quickly ... what do the vertex and roots potentially represent in real-world scenarios. Give at least one example.